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Fujii D, Nakata T, Ojima T. Heterogeneous risk attitudes and waves of infection. PLoS One 2024; 19:e0299813. [PMID: 38593169 PMCID: PMC11003633 DOI: 10.1371/journal.pone.0299813] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2023] [Accepted: 02/15/2024] [Indexed: 04/11/2024] Open
Abstract
Many countries have experienced multiple waves of infection during the COVID-19 pandemic. We propose a novel but parsimonious extension of the SIR model, a CSIR model, that can endogenously generate waves. In the model, cautious individuals take appropriate prevention measures against the virus and are not exposed to infection risk. Incautious individuals do not take any measures and are susceptible to the risk of infection. Depending on the size of incautious and susceptible population, some cautious people lower their guard and become incautious-thus susceptible to the virus. When the virus spreads sufficiently, the population reaches "temporary" herd immunity and infection subsides thereafter. Yet, the inflow from the cautious to the susceptible eventually expands the susceptible population and leads to the next wave. We also show that the CSIR model is isomorphic to the SIR model with time-varying parameters.
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Affiliation(s)
- Daisuke Fujii
- Research Institute of Economy, Trade and Industry (RIETI), Chiyoda, Tokyo, Japan
- Graduate School of Economics, University of Tokyo, Bunkyo, Tokyo, Japan
| | - Taisuke Nakata
- Graduate School of Economics, University of Tokyo, Bunkyo, Tokyo, Japan
| | - Takeshi Ojima
- Faculty of Economics, Soka University, Hachioji, Tokyo, Japan
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Han Z, Wang Y, Gao S, Sun G, Wang H. Final epidemic size of a two-community SIR model with asymmetric coupling. J Math Biol 2024; 88:51. [PMID: 38551684 DOI: 10.1007/s00285-024-02073-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2023] [Revised: 02/11/2024] [Accepted: 02/29/2024] [Indexed: 04/02/2024]
Abstract
Communities are commonly not isolated but interact asymmetrically with each other, allowing the propagation of infectious diseases within the same community and between different communities. To reveal the impact of asymmetrical interactions and contact heterogeneity on disease transmission, we formulate a two-community SIR epidemic model, in which each community has its contact structure while communication between communities occurs through temporary commuters. We derive an explicit formula for the basic reproduction number R 0 , give an implicit equation for the final epidemic size z, and analyze the relationship between them. Unlike the typical positive correlation between R 0 and z in the classic SIR model, we find a negatively correlated relationship between counterparts of our model deviating from homogeneous populations. Moreover, we investigate the impact of asymmetric coupling mechanisms on R 0 . The results suggest that, in scenarios with restricted movement of susceptible individuals within a community, R 0 does not follow a simple monotonous relationship, indicating that an unbending decrease in the movement of susceptible individuals may increase R 0 . We further demonstrate that network contacts within communities have a greater effect on R 0 than casual contacts between communities. Finally, we develop an epidemic model without restriction on the movement of susceptible individuals, and the numerical simulations suggest that the increase in human flow between communities leads to a larger R 0 .
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Affiliation(s)
- Zhimin Han
- School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, Hubei, China
| | - Yi Wang
- School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, Hubei, China
| | - Shan Gao
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada
- Interdisciplinary Lab for Mathematical Ecology and Epidemiology, University of Alberta, Edmonton, AB, T6G 2G1, Canada
| | - Guiquan Sun
- School of Mathematics, North University of China, Taiyuan, 030051, Shanxi, China
| | - Hao Wang
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada.
- Interdisciplinary Lab for Mathematical Ecology and Epidemiology, University of Alberta, Edmonton, AB, T6G 2G1, Canada.
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3
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Gao W, Wang Y, Cao J, Liu Y. Final epidemic size and critical times for susceptible-infectious-recovered models with a generalized contact rate. Chaos 2024; 34:013152. [PMID: 38294886 DOI: 10.1063/5.0185707] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/01/2023] [Accepted: 12/27/2023] [Indexed: 02/02/2024]
Abstract
During the spread of an infectious disease, the contact rate or the incidence rate may affect disease characteristics. For simplicity, most disease models assume standard incidence or mass action rates to calculate the basic reproduction number, final epidemic size, and peak time of an epidemic. For standard incidence, the contact rate remains constant resulting in the incidence rate is inversely proportional to the population size, while for the mass action rate, this contact rate is proportional to the total population size resulting in the incidence rate is independent of the population size. In this paper, we consider susceptible-infectious-recovered epidemic models with a generalized contact rate C(N) and a nonlinear incidence rate in view of the behavioral change from susceptible or infectious individuals when an infectious disease appears. The basic reproduction number and the final size equation are derived. The impact of different types of contact rates on them is studied. Moreover, two critical times (peak time and epidemic duration) of an epidemic are considered. Explicit formulas for the peak time and epidemic duration are obtained. These formulas are helpful not only for taking early effective epidemic precautions but also for understanding how the epidemic duration can be changed by acting on the model parameters, especially when the epidemic model is used to make public health policy.
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Affiliation(s)
- Wenhua Gao
- School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
| | - Yi Wang
- School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
- School of Mathematics, Southeast University, Nanjing 210096, China
| | - Jinde Cao
- School of Mathematics, Southeast University, Nanjing 210096, China
| | - Yang Liu
- Laboratory of Intelligent Education Technology and Application of Zhejiang Province, School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
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Crocker A, Strömbom D. Susceptible-Infected-Susceptible type COVID-19 spread with collective effects. Sci Rep 2023; 13:22600. [PMID: 38114694 PMCID: PMC10730724 DOI: 10.1038/s41598-023-49949-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/17/2023] [Accepted: 12/13/2023] [Indexed: 12/21/2023] Open
Abstract
Many models developed to forecast and attempt to understand the COVID-19 pandemic are highly complex, and few take collective behavior into account. As the pandemic progressed individual recurrent infection was observed and simpler susceptible-infected type models were introduced. However, these do not include mechanisms to model collective behavior. Here, we introduce an extension of the SIS model that accounts for collective behavior and show that it has four equilibria. Two of the equilibria are the standard SIS model equilibria, a third is always unstable, and a fourth where collective behavior and infection prevalence interact to produce either node-like or oscillatory dynamics. We then parameterized the model using estimates of the transmission and recovery rates for COVID-19 and present phase diagrams for fixed recovery rate and free transmission rate, and both rates fixed. We observe that regions of oscillatory dynamics exist in both cases and that the collective behavior parameter regulates their extent. Finally, we show that the system exhibits hysteresis when the collective behavior parameter varies over time. This model provides a minimal framework for explaining oscillatory phenomena such as recurring waves of infection and hysteresis effects observed in COVID-19, and other SIS-type epidemics, in terms of collective behavior.
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Affiliation(s)
- Amanda Crocker
- Department of Biology, Lafayette College, Easton, PA, 18042, USA
| | - Daniel Strömbom
- Department of Biology, Lafayette College, Easton, PA, 18042, USA.
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Alamri FS, Boone EL, Ghanam R, Alswaidi F. Monitoring COVID-19 pandemic in Saudi Arabia using SEIRD model parameters with MEWMA. J Infect Public Health 2023; 16:2038-2045. [PMID: 37939454 DOI: 10.1016/j.jiph.2023.09.009] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2023] [Revised: 09/08/2023] [Accepted: 09/18/2023] [Indexed: 11/10/2023] Open
Abstract
BACKGROUND When the COVID-19 pandemic hit Saudi Arabia, decision-makers were confronted with the difficult task of implementing treatment and disease prevention measures. To make effective decisions, officials must monitor several pandemic attributes simultaneously. Such as spreading rate, which is the number of new cases of a disease compared to existing cases; infection rate refers to how many cases have been reported in the entire population, and the recovery rate, which is how effective treatment is and indicates how many people recover from an illness and the mortality rate is how many deaths there are for every 10,000 people. METHODS Based on a Susceptible, Exposed, Infected, Recovered Death (SEIRD) model, this study presents a method for monitoring changes in the dynamics of a pandemic. This approach uses a Bayesian paradigm for estimating the parameters at each time using a particle Markov chain Monte Carlo (MCMC) method. The MCMC samples are then analyzed using Multivariate Exponentially Weighted Average (MEWMA) profile monitoring technique, which will "signal" if a change in the SEIRD model parameters change. RESULTS The method is applied to the pre-vaccine COVID-19 data for Saudi Arabia and the MEWMA process shows changes in parameter profiles which correspond to real world events such as government interventions or changes in behaviour. CONCLUSIONS The method presented here is a tool that researchers and policy makers can use to monitor pandemics in a real time manner.
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Affiliation(s)
- Faten S Alamri
- Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh, Saudi Arabia.
| | - Edward L Boone
- Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA, USA
| | - Ryad Ghanam
- Department of Liberal Arts and Science, Virginia Commonwealth University in Qatar, Doha, Qatar
| | - Fahad Alswaidi
- Ministry of Health, Public Health HQ, Almurabaa 11176, Saudi Arabia
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Bichara DM. Characterization of differential susceptibility and differential infectivity epidemic models. J Math Biol 2023; 88:3. [PMID: 38010552 DOI: 10.1007/s00285-023-02023-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/23/2022] [Revised: 05/05/2023] [Accepted: 10/30/2023] [Indexed: 11/29/2023]
Abstract
Heterogeneity in susceptibility and infectivity is a central issue in epidemiology. Although the latter has received some attention recently, the former is often neglected in modeling of epidemic systems. Moreover, very few studies consider both of these heterogeneities. This paper is concerned with the characterization of epidemic models with differential susceptibility and differential infectivity under a general setup. Specifically, we investigate the global asymptotic behavior of equilibria of these systems when the network configuration of the Susceptible-Infectious interactions is strongly connected. These results prove two conjectures by Bonzi et al. (J Math Biol 62:39-64, 2011) and Hyman and Li (Math Biosci Eng 3:89-100, 2006). Moreover, we consider the scenario in which the strong connectivity hypothesis is dropped. In this case, the model exhibits a wider range of dynamical behavior, including the rise of boundary and interior equilibria, all based on the topology of network connectivity. Finally, a model with multidirectional transitions between infectious classes is presented and completely analyzed.
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Affiliation(s)
- Derdei M Bichara
- Department of Mathematics, California State University, Fullerton, CA, 92831, USA.
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Abstract
This Medical News feature discusses a Quest Diagnostics blood biomarkers test that is supposed to help consumers assess their Alzheimer disease risk.
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Kiss IZ, Kenah E, Rempała GA. Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks. J Math Biol 2023; 87:36. [PMID: 37532967 PMCID: PMC10397147 DOI: 10.1007/s00285-023-01967-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2022] [Revised: 05/09/2023] [Accepted: 07/11/2023] [Indexed: 08/04/2023]
Abstract
We prove that it is possible to obtain the exact closure of SIR pairwise epidemic equations on a configuration model network if and only if the degree distribution follows a Poisson, binomial, or negative binomial distribution. The proof relies on establishing the equivalence, for these specific degree distributions, between the closed pairwise model and a dynamical survival analysis (DSA) model that was previously shown to be exact. Specifically, we demonstrate that the DSA model is equivalent to the well-known edge-based Volz model. Using this result, we also provide reductions of the closed pairwise and Volz models to a single equation that involves only susceptibles. This equation has a useful statistical interpretation in terms of times to infection. We provide some numerical examples to illustrate our results.
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Affiliation(s)
- István Z Kiss
- Department of Mathematics, University of Sussex, Falmer, Brighton, BN1 9QH, UK.
- Network Science Institute, Northeastern University London, London, E1W 1LP, UK.
| | - Eben Kenah
- Division of Biostatistics, College of Public Health and Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, USA
| | - Grzegorz A Rempała
- Division of Biostatistics, College of Public Health and Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, USA
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Abstract
BACKGROUND Black Americans are exposed to higher annual levels of air pollution containing fine particulate matter (particles with an aerodynamic diameter of ≤2.5 μm [PM2.5]) than White Americans and may be more susceptible to its health effects. Low-income Americans may also be more susceptible to PM2.5 pollution than high-income Americans. Because information is lacking on exposure-response curves for PM2.5 exposure and mortality among marginalized subpopulations categorized according to both race and socioeconomic position, the Environmental Protection Agency lacks important evidence to inform its regulatory rulemaking for PM2.5 standards. METHODS We analyzed 623 million person-years of Medicare data from 73 million persons 65 years of age or older from 2000 through 2016 to estimate associations between annual PM2.5 exposure and mortality in subpopulations defined simultaneously by racial identity (Black vs. White) and income level (Medicaid eligible vs. ineligible). RESULTS Lower PM2.5 exposure was associated with lower mortality in the full population, but marginalized subpopulations appeared to benefit more as PM2.5 levels decreased. For example, the hazard ratio associated with decreasing PM2.5 from 12 μg per cubic meter to 8 μg per cubic meter for the White higher-income subpopulation was 0.963 (95% confidence interval [CI], 0.955 to 0.970), whereas equivalent hazard ratios for marginalized subpopulations were lower: 0.931 (95% CI, 0.909 to 0.953) for the Black higher-income subpopulation, 0.940 (95% CI, 0.931 to 0.948) for the White low-income subpopulation, and 0.939 (95% CI, 0.921 to 0.957) for the Black low-income subpopulation. CONCLUSIONS Higher-income Black persons, low-income White persons, and low-income Black persons may benefit more from lower PM2.5 levels than higher-income White persons. These findings underscore the importance of considering racial identity and income together when assessing health inequities. (Funded by the National Institutes of Health and the Alfred P. Sloan Foundation.).
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Affiliation(s)
- Kevin P Josey
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
| | - Scott W Delaney
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
| | - Xiao Wu
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
| | - Rachel C Nethery
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
| | - Priyanka DeSouza
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
| | - Danielle Braun
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
| | - Francesca Dominici
- From the Departments of Biostatistics (K.P.J., R.C.N., D.B., F.D.) and Environmental Health (S.W.D.), Harvard T.H. Chan School of Public Health, Boston; the Department of Biostatistics, Mailman School of Public Health, Columbia University, New York (X.W.); and the Department of Urban and Regional Planning, University of Colorado Denver, Denver (P.D.)
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Wu Q, Chen S. Heterogeneous pair-approximation analysis for susceptible-infectious-susceptible epidemics on networks. Chaos 2023; 33:013113. [PMID: 36725617 DOI: 10.1063/5.0112058] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2022] [Accepted: 12/12/2022] [Indexed: 06/18/2023]
Abstract
The pair heterogeneous mean-field (PHMF) model has been used extensively in previous studies to investigate the dynamics of susceptible-infectious-susceptible epidemics on complex networks. However, the approximate treatment of the classical or reduced PHMF models lacks a rigorous theoretical analysis. By means of the standard and full PHMF models, we first derived the equivalent conditions for the approximate model treatment. Furthermore, we analytically derived a novel epidemic threshold for the PHMF model, and we demonstrated via numerical simulations that this threshold condition differs from all those reported in earlier studies. Our findings indicate that both the reduced and full PHMF models agree well with continuous-time stochastic simulations, especially when infection is spreading at considerably higher rates.
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Affiliation(s)
- Qingchu Wu
- School of Mathematics and Statistics, Jiangxi Normal University, Nanchang, Jiangxi 330022, China
| | - Shufang Chen
- Academic Affairs Office, Jiangxi Normal University, Nanchang, Jiangxi 330022, China
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Girardi P, Gaetan C. An SEIR Model with Time-Varying Coefficients for Analyzing the SARS-CoV-2 Epidemic. Risk Anal 2023; 43:144-155. [PMID: 34799850 PMCID: PMC9011870 DOI: 10.1111/risa.13858] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/29/2020] [Revised: 04/23/2021] [Accepted: 10/29/2021] [Indexed: 06/13/2023]
Abstract
In this study, we propose a time-dependent susceptible-exposed-infected-recovered (SEIR) model for the analysis of the SARS-CoV-2 epidemic outbreak in three different countries, the United States, Italy, and Iceland using public data inherent the numbers of the epidemic wave. Since several types and grades of actions were adopted by the governments, including travel restrictions, social distancing, or limitation of movement, we want to investigate how these measures can affect the epidemic curve of the infectious population. The parameters of interest for the SEIR model were estimated employing a composite likelihood approach. Moreover, standard errors have been corrected for temporal dependence. The adoption of restrictive measures results in flatten epidemic curves, and the future evolution indicated a decrease in the number of cases.
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Affiliation(s)
- Paolo Girardi
- Department of Developmental and Social PsychologyUniversity of PadovaVia Venezia 8Padova35131Italy
- Department of Statistical SciencesUniversity of PadovaPadovaItaly
| | - Carlo Gaetan
- Department of Environmental Sciences, Informatics and StatisticsCa' Foscari University of VeniceVeniceItaly
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Barrios-Rivera E, Bastidas-Santacruz HE, Ramirez-Bernate CA, Vasilieva O. A synthesized model of tuberculosis transmission featuring treatment abandonment. Math Biosci Eng 2022; 19:10882-10914. [PMID: 36124574 DOI: 10.3934/mbe.2022509] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
In this paper, we propose and justify a synthesized version of the tuberculosis transmission model featuring treatment abandonment. In contrast to other models that account for the treatment abandonment, our model has only four state variables or classes (susceptible, latent, infectious, and treated), while people abandoning treatment are not gathered into an additional class. The proposed model retains the core properties that are highly desirable in epidemiological modeling. Namely, the disease transmission dynamics is characterized by the basic reproduction number $ \mathscr{R}_0 $, a threshold value that determines the number of possible steady states and their stability properties. It is shown that the disease-free equilibrium is globally asymptotically stable (GAS) only if $ \mathscr{R}_0 < 1 $, while a strictly positive endemic equilibrium exists and is GAS only if $ \mathscr{R}_0 > 1. $ Analysis of the dependence of $ \mathscr{R}_0 $ on the treatment abandonment rate shows that a reduction of the treatment abandonment rate has a positive effect on the disease incidence and results in avoiding disease-related fatalities.
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Affiliation(s)
- Edwin Barrios-Rivera
- Department of Mathematics, Universidad del Valle, Calle 13 No. 100-00, Cali 760032, Colombia
| | | | | | - Olga Vasilieva
- Department of Mathematics, Universidad del Valle, Calle 13 No. 100-00, Cali 760032, Colombia
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Singh P, Gupta A. Generalized SIR (GSIR) epidemic model: An improved framework for the predictive monitoring of COVID-19 pandemic. ISA Trans 2022; 124:31-40. [PMID: 33610314 PMCID: PMC7883688 DOI: 10.1016/j.isatra.2021.02.016] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/30/2020] [Revised: 12/30/2020] [Accepted: 02/11/2021] [Indexed: 05/08/2023]
Abstract
Novel coronavirus respiratory disease COVID-19 has caused havoc in many countries across the globe. In order to contain infection of this highly contagious disease, most of the world population is constrained to live in a complete or partial lockdown for months together with a minimal human-to-human interaction having far reaching consequences on countries' economy and mental well-being of their citizens. Hence, there is a need for a good predictive model for the health advisory bodies and decision makers for taking calculated proactive measures to contain the pandemic and maintain a healthy economy. This paper extends the mathematical theory of the classical Susceptible-Infected-Removed (SIR) epidemic model and proposes a Generalized SIR (GSIR) model that is an integrative model encompassing multiple waves of daily reported cases. Existing growth function models of epidemic have been shown as the special cases of the GSIR model. Dynamic modeling of the parameters reflect the impact of policy decisions, social awareness, and the availability of medication during the pandemic. GSIR framework can be utilized to find a good fit or predictive model for any pandemic. The study is performed on the COVID-19 data for various countries with detailed results for India, Brazil, United States of America (USA), and World. The peak infection, total expected number of COVID-19 cases and thereof deaths, time-varying reproduction number, and various other parameters are estimated from the available data using the proposed methodology. The proposed GSIR model advances the existing theory and yields promising results for continuous predictive monitoring of COVID-19 pandemic.
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Affiliation(s)
- Pushpendra Singh
- Department of Electronics & Communication Engineering, National Institute of Technology Hamirpur, Hamirpur, India.
| | - Anubha Gupta
- SBILab, Department of ECE, Indraprastha Institute of Information Technology Delhi, Delhi, India.
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Abstract
Mathematical modeling of epidemic diseases is increasingly being used to respond to emerging diseases. Although conditions modeled by SIS dynamics will eventually reach either a disease-free steady-state or an endemic steady state without interventions, it is desirable to eradicate the disease as quickly as possible by introducing a control scheme. Here, we investigate the control methods of epidemic models on dynamic networks with temporary link deactivation. A quick link deactivation mechanism can simulate a community effort to reduce the risk of infection by temporarily avoiding infected neighbors. Once infected individuals recover, the links between the susceptible and recovered are activated. Our study suggests that a control scheme that has been shown ineffective in controlling dynamic network models may yield effective responses for networks with certain types of link dynamics, such as the temporary link deactivation mechanisms. We observe that a faster and more effective eradication could be achieved by updating control schemes frequently.
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Affiliation(s)
- Jun Hyung Bae
- Interdisciplinary Program in Computational Science and Technology, Seoul National University, Seoul 08826, Korea
| | - Sang-Mook Lee
- Department of Earth and Environmental Sciences, Seoul National University, Seoul 08826, Korea
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Mezouaghi A, Djillali S, Zeb A, Nisar KS. Global proprieties of a delayed epidemic model with partial susceptible protection. Math Biosci Eng 2022; 19:209-224. [PMID: 34902988 DOI: 10.3934/mbe.2022011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
In the case of an epidemic, the government (or population itself) can use protection for reducing the epidemic. This research investigates the global dynamics of a delayed epidemic model with partial susceptible protection. A threshold dynamics is obtained in terms of the basic reproduction number, where for R0<1 the infection will extinct from the population. But, for R0>1 it has been shown that the disease will persist, and the unique positive equilibrium is globally asymptotically stable. The principal purpose of this research is to determine a relation between the isolation rate and the basic reproduction number in such a way we can eliminate the infection from the population. Moreover, we will determine the minimal protection force to eliminate the infection for the population. A comparative analysis with the classical SIR model is provided. The results are supported by some numerical illustrations with their epidemiological relevance.
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Affiliation(s)
- Abdelheq Mezouaghi
- Laboratory of Pure and Applied Mathematics, University of Mostaganem, Mostaganem, Algeria
- Faculty of Exact Sciences and Informatics, Mathematics Department, Hassiba Benbouali university, Chlef, Algeria
| | - Salih Djillali
- Faculty of Exact Sciences and Informatics, Mathematics Department, Hassiba Benbouali university, Chlef, Algeria
- Laboratoire d' Analyse Non Line' aire et Mathe' matiques Appliqu'es, University of Tlemcen, Tlemcen, Algeria
| | - Anwar Zeb
- Department of Mathematics, COMSATS University Islamabad, Abbottabad, 22060, Khyber Pakhtunkhwa, Pakistan
| | - Kottakkaran Sooppy Nisar
- Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia
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Garbarino S, Lanteri P, Bragazzi NL, Magnavita N, Scoditti E. Role of sleep deprivation in immune-related disease risk and outcomes. Commun Biol 2021; 4:1304. [PMID: 34795404 PMCID: PMC8602722 DOI: 10.1038/s42003-021-02825-4] [Citation(s) in RCA: 93] [Impact Index Per Article: 31.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2021] [Accepted: 10/26/2021] [Indexed: 12/11/2022] Open
Abstract
Modern societies are experiencing an increasing trend of reduced sleep duration, with nocturnal sleeping time below the recommended ranges for health. Epidemiological and laboratory studies have demonstrated detrimental effects of sleep deprivation on health. Sleep exerts an immune-supportive function, promoting host defense against infection and inflammatory insults. Sleep deprivation has been associated with alterations of innate and adaptive immune parameters, leading to a chronic inflammatory state and an increased risk for infectious/inflammatory pathologies, including cardiometabolic, neoplastic, autoimmune and neurodegenerative diseases. Here, we review recent advancements on the immune responses to sleep deprivation as evidenced by experimental and epidemiological studies, the pathophysiology, and the role for the sleep deprivation-induced immune changes in increasing the risk for chronic diseases. Gaps in knowledge and methodological pitfalls still remain. Further understanding of the causal relationship between sleep deprivation and immune deregulation would help to identify individuals at risk for disease and to prevent adverse health outcomes.
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Affiliation(s)
- Sergio Garbarino
- Department of Neuroscience, Rehabilitation, Ophthalmology, Genetics and Maternal/Child Sciences, University of Genoa, 16132, Genoa, Italy.
| | - Paola Lanteri
- Neurophysiology Unit, Fondazione IRCCS Istituto Neurologico Carlo Besta, Milan, Italy
| | - Nicola Luigi Bragazzi
- Laboratory for Industrial and Applied Mathematics (LIAM), Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada
| | - Nicola Magnavita
- Postgraduate School of Occupational Medicine, Università Cattolica del Sacro Cuore, 00168, Rome, Italy
- Department of Woman/Child and Public Health, Fondazione Policlinico Universitario Agostino Gemelli IRCCS, 00168, Rome, Italy
| | - Egeria Scoditti
- National Research Council (CNR), Institute of Clinical Physiology (IFC), 73100, Lecce, Italy
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17
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Wren L, Best A. How Local Interactions Impact the Dynamics of an Epidemic. Bull Math Biol 2021; 83:124. [PMID: 34773169 PMCID: PMC8589636 DOI: 10.1007/s11538-021-00961-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/21/2021] [Accepted: 10/20/2021] [Indexed: 11/01/2022]
Abstract
Susceptible-Infected-Recovered (SIR) models have long formed the basis for exploring epidemiological dynamics in a range of contexts, including infectious disease spread in human populations. Classic SIR models take a mean-field assumption, such that a susceptible individual has an equal chance of catching the disease from any infected individual in the population. In reality, spatial and social structure will drive most instances of disease transmission. Here we explore the impacts of including spatial structure in a simple SIR model. We combine an approximate mathematical model (using a pair approximation) and stochastic simulations to consider the impact of increasingly local interactions on the epidemic. Our key development is to allow not just extremes of 'local' (neighbour-to-neighbour) or 'global' (random) transmission, but all points in between. We find that even medium degrees of local interactions produce epidemics highly similar to those with entirely global interactions, and only once interactions are predominantly local do epidemics become substantially lower and later. We also show how intervention strategies to impose local interactions on a population must be introduced early if significant impacts are to be seen.
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Affiliation(s)
- Lydia Wren
- School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, UK
| | - Alex Best
- School of Mathematics and Statistics, University of Sheffield, Sheffield, S3 7RH, UK.
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18
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Ariffin MRK, Gopal K, Krishnarajah I, Che Ilias IS, Adam MB, Arasan J, Abd Rahman NH, Mohd Dom NS, Mohammad Sham N. Mathematical epidemiologic and simulation modelling of first wave COVID-19 in Malaysia. Sci Rep 2021; 11:20739. [PMID: 34671103 PMCID: PMC8528817 DOI: 10.1038/s41598-021-99541-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/31/2021] [Accepted: 09/28/2021] [Indexed: 01/08/2023] Open
Abstract
Since the first coronavirus disease 2019 (COVID-19) outbreak appeared in Wuhan, mainland China on December 31, 2019, the geographical spread of the epidemic was swift. Malaysia is one of the countries that were hit substantially by the outbreak, particularly in the second wave. This study aims to simulate the infectious trend and trajectory of COVID-19 to understand the severity of the disease and determine the approximate number of days required for the trend to decline. The number of confirmed positive infectious cases [as reported by Ministry of Health, Malaysia (MOH)] were used from January 25, 2020 to March 31, 2020. This study simulated the infectious count for the same duration to assess the predictive capability of the Susceptible-Infectious-Recovered (SIR) model. The same model was used to project the simulation trajectory of confirmed positive infectious cases for 80 days from the beginning of the outbreak and extended the trajectory for another 30 days to obtain an overall picture of the severity of the disease in Malaysia. The transmission rate, β also been utilized to predict the cumulative number of infectious individuals. Using the SIR model, the simulated infectious cases count obtained was not far from the actual count. The simulated trend was able to mimic the actual count and capture the actual spikes approximately. The infectious trajectory simulation for 80 days and the extended trajectory for 110 days depicts that the inclining trend has peaked and ended and will decline towards late April 2020. Furthermore, the predicted cumulative number of infectious individuals tallies with the preparations undertaken by the MOH. The simulation indicates the severity of COVID-19 disease in Malaysia, suggesting a peak of infectiousness in mid-March 2020 and a probable decline in late April 2020. Overall, the study findings indicate that outbreak control measures such as the Movement Control Order (MCO), social distancing and increased hygienic awareness is needed to control the transmission of the outbreak in Malaysia.
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Affiliation(s)
- Muhammad Rezal Kamel Ariffin
- Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.
- Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.
| | - Kathiresan Gopal
- Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
| | | | | | - Mohd Bakri Adam
- Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
- Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
| | - Jayanthi Arasan
- Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
| | - Nur Haizum Abd Rahman
- Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
| | - Nur Sumirah Mohd Dom
- Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
| | - Noraishah Mohammad Sham
- Environmental Health Research Centre, Institute for Medical Research, 40170, Shah Alam, Selangor, Malaysia
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19
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Goodrich JM, Calkins MM, Caban-Martinez AJ, Stueckle T, Grant C, Calafat AM, Nematollahi A, Jung AM, Graber JM, Jenkins T, Slitt AL, Dewald A, Botelho JC, Beitel S, Littau S, Gulotta J, Wallentine D, Hughes J, Popp C, Burgess JL. Per- and polyfluoroalkyl substances, epigenetic age and DNA methylation: a cross-sectional study of firefighters. Epigenomics 2021; 13:1619-1636. [PMID: 34670402 PMCID: PMC8549684 DOI: 10.2217/epi-2021-0225] [Citation(s) in RCA: 15] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2021] [Accepted: 09/27/2021] [Indexed: 01/09/2023] Open
Abstract
Background: Per- and polyfluoroalkyl substances (PFASs) are persistent chemicals that firefighters encounter. Epigenetic modifications, including DNA methylation, could serve as PFASs toxicity biomarkers. Methods: With a sample size of 197 firefighters, we quantified the serum concentrations of nine PFASs, blood leukocyte DNA methylation and epigenetic age indicators via the EPIC array. We examined the associations between PFASs with epigenetic age, site- and region-specific DNA methylation, adjusting for confounders. Results: Perfluorohexane sulfonate, perfluorooctanoate (PFOA) and the sum of branched isomers of perfluorooctane sulfonate (Sm-PFOS) were associated with accelerated epigenetic age. Branched PFOA, linear PFOS, perfluorononanoate, perfluorodecanoate and perfluoroundecanoate were associated with differentially methylated loci and regions. Conclusion: PFASs concentrations are associated with accelerated epigenetic age and locus-specific DNA methylation. The implications for PFASs toxicity merit further investigation.
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Affiliation(s)
- Jaclyn M Goodrich
- Department of Environmental Health Sciences, University of Michigan School of Public Health, 1415 Washington Heights, Ann Arbor, MI 48109, USA
| | - Miriam M Calkins
- National Institute for Occupational Safety & Health, Centers for Disease Control & Prevention, Cincinnati, OH 45226, USA
| | - Alberto J Caban-Martinez
- Department of Public Health Sciences, University of Miami Miller School of Medicine, Miami, FL 33136, USA
| | - Todd Stueckle
- National Institute for Occupational Safety & Health, Centers for Disease Control & Prevention, Morgantown, WV 26505, USA
| | - Casey Grant
- Fire Protection Research Foundation, Quincy, MA 02169, USA
| | - Antonia M Calafat
- National Center for Environmental Health, Centers for Disease Control & Prevention, Atlanta, GA 30341, USA
| | - Amy Nematollahi
- Department of Community, Environment & Policy, University of Arizona Mel & Enid Zuckerman College of Public Health, Tucson, AZ 85724, USA
| | - Alesia M Jung
- Department of Epidemiology & Biostatistics, University of Arizona Mel & Enid Zuckerman College of Public Health, Tucson, AZ 85724, USA
| | - Judith M Graber
- Department of Biostatistics & Epidemiology, Rutgers the State University of New Jersey, Piscataway, NJ 08854, USA
| | - Timothy Jenkins
- Department of Cell Biology & Physiology, Brigham Young University, Provo, UT 84602, USA
| | - Angela L Slitt
- Department of Biomedical Sciences, University of Rhode Island College of Pharmacy, Kingston, RI 02881, USA
| | - Alisa Dewald
- Department of Environmental Health Sciences, University of Michigan School of Public Health, 1415 Washington Heights, Ann Arbor, MI 48109, USA
| | - Julianne Cook Botelho
- National Center for Environmental Health, Centers for Disease Control & Prevention, Atlanta, GA 30341, USA
| | - Shawn Beitel
- Department of Community, Environment & Policy, University of Arizona Mel & Enid Zuckerman College of Public Health, Tucson, AZ 85724, USA
| | - Sally Littau
- Department of Community, Environment & Policy, University of Arizona Mel & Enid Zuckerman College of Public Health, Tucson, AZ 85724, USA
| | | | | | - Jeff Hughes
- Orange County Fire Authority, Irvine, CA 92602, USA
| | | | - Jefferey L Burgess
- Department of Community, Environment & Policy, University of Arizona Mel & Enid Zuckerman College of Public Health, Tucson, AZ 85724, USA
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20
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Lemos AEG, Silva GR, Gimba ERP, Matos ADR. Susceptibility of lung cancer patients to COVID-19: A review of the pandemic data from multiple nationalities. Thorac Cancer 2021; 12:2637-2647. [PMID: 34435733 PMCID: PMC8520793 DOI: 10.1111/1759-7714.14067] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2021] [Revised: 06/14/2021] [Accepted: 06/18/2021] [Indexed: 01/08/2023] Open
Abstract
Several studies have highlighted that cancer patients tend to be more susceptible to develop severe infection and to die from COVID-19. Certain medical conditions such as immunosuppression, presence of comorbidities, and underlying pulmonary damage are possible determinants of disease severity, especially in lung cancer patients. While recent studies have shown that lung cancer is one of the most prevalent tumor types among COVID-19 cancer patients, we still have an incomplete view of how data from several countries work as a whole. The aim of this review was to investigate COVID-19 prevalence in lung cancer patient cohorts and their probability to develop severe illness and death when compared to nonlung cancer patients from multiple nationalities, including countries that have been the epicenters of the pandemic. We also focus on some intrinsic lung cancer features that might influence COVID-19 outcomes. An integrative view of the susceptibility of lung cancer patients might be especially relevant to assist physicians in evaluating the risks of COVID-19 in these patients, and to foster better decisions on treatment delay.
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Affiliation(s)
- Ana Emília Goulart Lemos
- Department of Physiology and PharmacologyBiomedical Institute, Federal Fluminense University (UFF)NiteroiBrazil
- National School of Public Health Sergio Arouca, Department of Epidemiology and Quantitative Methods in HealthOswaldo Cruz Foundation (FIOCRUZ)Rio de JaneiroBrazil
- Cellular and Molecular Oncobiology Program, Research CentreNational Cancer Institute (INCA)Rio de JaneiroBrazil
| | - Gabriela Ribeiro Silva
- Department of Physiology and PharmacologyBiomedical Institute, Federal Fluminense University (UFF)NiteroiBrazil
- Cellular and Molecular Oncobiology Program, Research CentreNational Cancer Institute (INCA)Rio de JaneiroBrazil
| | - Etel Rodrigues Pereira Gimba
- Department of Physiology and PharmacologyBiomedical Institute, Federal Fluminense University (UFF)NiteroiBrazil
- Cellular and Molecular Oncobiology Program, Research CentreNational Cancer Institute (INCA)Rio de JaneiroBrazil
- Institute of Humanities and Health, Department of Natural SciencesFederal Fluminense University (UFF)Rio das OstrasBrazil
| | - Aline da Rocha Matos
- Oswaldo Cruz Institute, Respiratory and Measles Viruses Laboratory/SARS‐CoV‐2 Reference, Laboratory, MoHWorld Health Organization (WHO), FIOCRUZRio de JaneiroBrazil
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21
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Abstract
A spatial susceptible-exposed-infectious-recovered (SEIR) model is developed to analyze the effects of restricting interregional mobility on the spatial spread of the coronavirus disease 2019 (COVID-19) infection in Japan. National and local governments have requested that residents refrain from traveling between prefectures during the state of emergency. However, the extent to which restricting interregional mobility prevents infection expansion is unclear. The spatial SEIR model describes the spatial spread pattern of COVID-19 infection when people commute or travel to a prefecture in the daytime and return to their residential prefecture at night. It is assumed that people are exposed to an infection risk during their daytime activities. The spatial spread of COVID-19 infection is simulated by integrating interregional mobility data. According to the simulation results, interregional mobility restrictions can prevent the geographical expansion of the infection. On the other hand, in urban prefectures with many infectious individuals, residents are exposed to higher infection risk when their interregional mobility is restricted. The simulation results also show that interregional mobility restrictions play a limited role in reducing the total number of infected individuals in Japan, suggesting that other non-pharmaceutical interventions should be implemented to reduce the epidemic size.
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Affiliation(s)
- Keisuke Kondo
- Research Institute of Economy, Trade and Industry (RIETI), 1-3-1 Kasumigaseki, Chiyoda-ku, Tokyo, 100-8901, Japan.
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22
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Khan A, Ali M, Iqbal W, Imran M. Effect of high and low risk susceptibles in the transmission dynamics of COVID-19 and control strategies. PLoS One 2021; 16:e0257354. [PMID: 34525112 PMCID: PMC8443082 DOI: 10.1371/journal.pone.0257354] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/11/2021] [Accepted: 08/27/2021] [Indexed: 11/19/2022] Open
Abstract
In this study, we formulate and analyze a deterministic model for the transmission of COVID-19 and evaluate control strategies for the epidemic. It has been well documented that the severity of the disease and disease related mortality is strongly correlated with age and the presence of co-morbidities. We incorporate this in our model by considering two susceptible classes, a high risk, and a low risk group. Disease transmission within each group is modelled by an extension of the SEIR model, considering additional compartments for quarantined and treated population groups first and vaccinated and treated population groups next. Cross Infection across the high and low risk groups is also incorporated in the model. We calculate the basic reproduction number [Formula: see text] and show that for [Formula: see text] the disease dies out, and for [Formula: see text] the disease is endemic. We note that varying the relative proportion of high and low risk susceptibles has a strong effect on the disease burden and mortality. We devise optimal medication and vaccination strategies for effective control of the disease. Our analysis shows that vaccinating and medicating both groups is needed for effective disease control and the controls are not very sensitive to the proportion of the high and low risk populations.
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Affiliation(s)
- Adnan Khan
- Department of Mathematics, Lahore University of Management Sciences Opposite Sector ‘U’, DHA Lahore, Lahore, Pakistan
| | - Mohsin Ali
- Department of Mathematics, Lahore University of Management Sciences Opposite Sector ‘U’, DHA Lahore, Lahore, Pakistan
| | - Wizda Iqbal
- National College of Business Administration & Economics, Lahore, Pakistan
| | - Mudassar Imran
- Department of Mathematics, Namal Institute Mianwali, Punjab, Pakistan
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23
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Abstract
Although traditional models of epidemic spreading focus on the number of infected, susceptible and recovered individuals, a lot of attention has been devoted to integrate epidemic models with population genetics. Here we develop an individual-based model for epidemic spreading on networks in which viruses are explicitly represented by finite chains of nucleotides that can mutate inside the host. Under the hypothesis of neutral evolution we compute analytically the average pairwise genetic distance between all infecting viruses over time. We also derive a mean-field version of this equation that can be added directly to compartmental models such as SIR or SEIR to estimate the genetic evolution. We compare our results with the inferred genetic evolution of SARS-CoV-2 at the beginning of the epidemic in China and found good agreement with the analytical solution of our model. Finally, using genetic distance as a proxy for different strains, we use numerical simulations to show that the lower the connectivity between communities, e.g., cities, the higher the probability of reinfection.
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Affiliation(s)
- Vitor M. Marquioni
- Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas - UNICAMP, Campinas, SP, Brazil
| | - Marcus A. M. de Aguiar
- Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas - UNICAMP, Campinas, SP, Brazil
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24
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Feng Y, Iyer G, Li L. Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic. J Math Biol 2021; 82:69. [PMID: 34101040 PMCID: PMC8185504 DOI: 10.1007/s00285-021-01615-0] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2020] [Revised: 02/23/2021] [Accepted: 05/04/2021] [Indexed: 11/26/2022]
Abstract
We consider a susceptible, infected, removed (SIR) system where the transmission rate may be temporarily reduced for a fixed amount of time. We show that in order to minimize the total number of fatalities, the transmission rate should be reduced on a single contiguous time interval, and we characterize this interval via an integral condition. We conclude with a few numerical simulations showing the actual reduction obtained.
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Affiliation(s)
- Yuanyuan Feng
- Department of Mathematics, Pennsylvania State University, State College, PA 16802 USA
| | - Gautam Iyer
- Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA
| | - Lei Li
- School of Mathematical Sciences, Institute of Natural Sciences, MOE-LSC, Shanghai Jiao Tong University, Shanghai, 200240 People’s Republic of China
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25
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Prasse B, Devriendt K, Van Mieghem P. Clustering for epidemics on networks: A geometric approach. Chaos 2021; 31:063115. [PMID: 34241312 DOI: 10.1063/5.0048779] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/26/2021] [Accepted: 05/06/2021] [Indexed: 06/13/2023]
Abstract
Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analyzing and controlling an epidemic outbreak. For some contact networks, it is possible to group individuals into clusters. A high-level description of the epidemic between a few clusters is considerably simpler than on an individual level. However, to cluster individuals, most studies rely on equitable partitions, a rather restrictive structural property of the contact network. In this work, we focus on Susceptible-Infected-Susceptible (SIS) epidemics, and our contribution is threefold. First, we propose a geometric approach to specify all networks for which an epidemic outbreak simplifies to the interaction of only a few clusters. Second, for the complete graph and any initial viral state vectors, we derive the closed-form solution of the nonlinear differential equations of the N-intertwined mean-field approximation of the SIS process. Third, by relaxing the notion of equitable partitions, we derive low-complexity approximations and bounds for epidemics on arbitrary contact networks. Our results are an important step toward understanding and controlling epidemics on large networks.
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Affiliation(s)
- Bastian Prasse
- Faculty of Electrical Engineering, Mathematics and Computer Science, P.O. Box 5031, 2600 GA Delft, The Netherlands
| | - Karel Devriendt
- Mathematical Institute, University of Oxford, OX2 6GG Oxford, United Kingdom
| | - Piet Van Mieghem
- Faculty of Electrical Engineering, Mathematics and Computer Science, P.O. Box 5031, 2600 GA Delft, The Netherlands
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26
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Abstract
It is of critical importance to estimate changing transmission rates and their dependence on population mobility. A common approach to this problem involves fitting daily transmission rates using a Susceptive Exposed Infected Recovered (SEIR) model (regularizing them to avoid overfitting), and then computing the relationship between the estimated transmission rate and mobility. Unfortunately, there are often several, very different transmission rate trajectories that can fit the reported cases well, meaning that the choice of regularization determines the final solution (and thus the mobility-transmission rate relationship) selected by the SEIR model. Moreover, the classical approaches to regularization—penalizing the derivative of the transmission rate trajectory—do not correspond to realistic properties of pandemic spread. Consequently, models fit using derivative-based regularization are often biased toward underestimating the current transmission rate and future deaths. In this work, we propose mobility-driven regularization of the SEIR transmission rate trajectory. This method rectifies the artificial regularization problem, produces more accurate and unbiased forecasts of future deaths, and estimates a highly interpretable relationship between mobility and the transmission rate. Mobility data for this analysis was collected by Safegraph (San Francisco, CA) from major US cities between March and August 2020.
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Affiliation(s)
- Dylan Parker
- Department of Statistics, Harvard University, Cambridge, Massachusetts
| | - Oleg Pianykh
- Department of Radiology, Massachusetts General Hospital, Boston, Massachusetts
- Correspondence address: Correspondence to Oleg Pianykh, Department of Radiology, Massachusetts General Hospital, 25 New Chardon St., Boston, MA 02114 (phone 617-724-2618, )
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27
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Ellis PJI. Modelling suggests ABO histo-incompatibility may substantially reduce SARS-CoV-2 transmission. Epidemics 2021; 35:100446. [PMID: 33706041 PMCID: PMC7919530 DOI: 10.1016/j.epidem.2021.100446] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2020] [Revised: 02/10/2021] [Accepted: 02/24/2021] [Indexed: 12/20/2022] Open
Abstract
Several independent datasets suggest blood type A is over-represented and type O under-represented among COVID-19 patients. However, blood group antigens appear not to be conventional susceptibility factors in that they do not affect disease severity, and the relative risk to non-O individuals is attenuated when population prevalence is high. Here, I model a scenario in which ABO transfusion incompatibility reduces the chance of a patient transmitting the virus to an incompatible recipient - thus in Western populations type A and AB individuals are "super-recipients" while type O individuals are "super-spreaders". This results in an offset in the timing of the epidemic among individuals of different blood types, and an increased relative risk to type A/AB patients that is most pronounced during early stages of the epidemic. However, once the majority of any given population is infected, the relative risk to each blood type approaches unity. Published data on COVID-19 prevalence from regions in the early stages of the SARS-CoV-2 epidemic suggests that if this model holds true, ABO incompatibility reduces virus transmissibility by at least 60 %. Exploring the implications of this model for vaccination strategies shows that paradoxically, targeted vaccination of either high-susceptibility type A/AB or "super-spreader" type O individuals is less effective than random vaccination at blocking community spread of the virus. Instead, the key is to maintain blood type diversity among the remaining susceptible individuals. Given the good agreement between this model and observational data on disease prevalence, the underlying biochemistry urgently requires experimental investigation.
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Affiliation(s)
- Peter J I Ellis
- University of Kent School of Biosciences, Stacey Building, Canterbury, KENT, CT2 7NZ, UK.
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28
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Richardson DB, Keil AP, Cole SR, Edwards JK. Reducing Bias Due to Exposure Measurement Error Using Disease Risk Scores. Am J Epidemiol 2021; 190:621-629. [PMID: 32997142 DOI: 10.1093/aje/kwaa208] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2020] [Revised: 09/19/2020] [Accepted: 09/23/2020] [Indexed: 11/14/2022] Open
Abstract
Suppose that an investigator wants to estimate an association between a continuous exposure variable and an outcome, adjusting for a set of confounders. If the exposure variable suffers classical measurement error, in which the measured exposures are distributed with independent error around the true exposure, then an estimate of the covariate-adjusted exposure-outcome association may be biased. We propose an approach to estimate a marginal exposure-outcome association in the setting of classical exposure measurement error using a disease score-based approach to standardization to the exposed sample. First, we show that the proposed marginal estimate of the exposure-outcome association will suffer less bias due to classical measurement error than the covariate-conditional estimate of association when the covariates are predictors of exposure. Second, we show that if an exposure validation study is available with which to assess exposure measurement error, then the proposed marginal estimate of the exposure-outcome association can be corrected for measurement error more efficiently than the covariate-conditional estimate of association. We illustrate both of these points using simulations and an empirical example using data from the Orinda Longitudinal Study of Myopia (California, 1989-2001).
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29
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Sly PD, Trottier BA, Bulka CM, Cormier SA, Fobil J, Fry RC, Kim KW, Kleeberger S, Kumar P, Landrigan PJ, Lodrop Carlsen KC, Pascale A, Polack F, Ruchirawat M, Zar HJ, Suk WA. The interplay between environmental exposures and COVID-19 risks in the health of children. Environ Health 2021; 20:34. [PMID: 33771185 PMCID: PMC7996114 DOI: 10.1186/s12940-021-00716-z] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2020] [Accepted: 03/07/2021] [Indexed: 05/05/2023]
Abstract
BACKGROUND An unusual feature of SARS-Cov-2 infection and the COVID-19 pandemic is that children are less severely affected than adults. This is especially paradoxical given the epidemiological links between poor air quality and increased COVID-19 severity in adults and that children are generally more vulnerable than adults to the adverse consequences of air pollution. OBJECTIVES To identify gaps in knowledge about the factors that protect children from severe SARS-Cov-2 infection even in the face of air pollution, and to develop a transdisciplinary research strategy to address these gaps. METHODS An international group of researchers interested in children's environmental health was invited to identify knowledge gaps and to develop research questions to close these gaps. DISCUSSION Key research questions identified include: what are the effects of SAR-Cov-2 infection during pregnancy on the developing fetus and child; what is the impact of age at infection and genetic susceptibility on disease severity; why do some children with COVID-19 infection develop toxic shock and Kawasaki-like symptoms; what are the impacts of toxic environmental exposures including poor air quality, chemical and metal exposures on innate immunity, especially in the respiratory epithelium; what is the possible role of a "dirty" environment in conveying protection - an example of the "hygiene hypothesis"; and what are the long term health effects of SARS-Cov-2 infection in early life. CONCLUSION A concerted research effort by a multidisciplinary team of scientists is needed to understand the links between environmental exposures, especially air pollution and COVID-19. We call for specific research funding to encourage basic and clinical research to understand if/why exposure to environmental factors is associated with more severe disease, why children appear to be protected, and how innate immune responses may be involved. Lessons learned about SARS-Cov-2 infection in our children will help us to understand and reduce disease severity in adults, the opposite of the usual scenario.
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Affiliation(s)
- Peter D Sly
- Children's Health and Environment Program, The University of Queensland, Brisbane, Australia
| | - Brittany A Trottier
- Superfund Research Program, National Institute of Environmental Health Sciences, 530 Davis Drive, Durham, NC, 27709, USA
| | - Catherine M Bulka
- Department of Environmental Sciences and Engineering, University of North Carolina, Chapel Hill, USA
| | - Stephania A Cormier
- LSU Superfund Research Program, Louisiana State University, Baton Rouge, USA
| | - Julius Fobil
- Department of Biological, Environmental and Occupational Health Science, University of Ghana, Accra, Ghana
| | - Rebecca C Fry
- Department of Environmental Sciences and Engineering, University of North Carolina, Chapel Hill, USA
| | - Kyoung-Woong Kim
- School of Earth Sciences and Environmental Engineering, Gwangju Institute of Science and Technology, Gwangju, South Korea
| | - Steven Kleeberger
- Immunity, Inflammation, and Disease Laboratory, National Institute of Environmental Health Sciences, Durham, USA
| | | | - Philip J Landrigan
- Schiller Institute for Integrated Science and Society, Boston College, Chestnut Hill, USA
| | - Karin C Lodrop Carlsen
- Division of Paediatric and Adolescent Medicine, University of Oslo & Oslo University Hospital, Oslo, Norway
| | - Antonio Pascale
- Department of Toxicology, Faculty of Medicine, University of the Republic, Montevideo, Uruguay
| | | | | | - Heather J Zar
- Dept of Paediatrics & Child Health and SA-MRC Unit on Child & Adolescent Health, University of Cape Town, Cape Town, South Africa
| | - William A Suk
- Superfund Research Program, National Institute of Environmental Health Sciences, 530 Davis Drive, Durham, NC, 27709, USA.
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30
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Di Lauro F, Kiss IZ, Miller JC. Optimal timing of one-shot interventions for epidemic control. PLoS Comput Biol 2021; 17:e1008763. [PMID: 33735171 PMCID: PMC8009413 DOI: 10.1371/journal.pcbi.1008763] [Citation(s) in RCA: 21] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/23/2020] [Revised: 03/30/2021] [Accepted: 02/02/2021] [Indexed: 01/08/2023] Open
Abstract
The interventions and outcomes in the ongoing COVID-19 pandemic are highly varied. The disease and the interventions both impose costs and harm on society. Some interventions with particularly high costs may only be implemented briefly. The design of optimal policy requires consideration of many intervention scenarios. In this paper we investigate the optimal timing of interventions that are not sustainable for a long period. Specifically, we look at at the impact of a single short-term non-repeated intervention (a "one-shot intervention") on an epidemic and consider the impact of the intervention's timing. To minimize the total number infected, the intervention should start close to the peak so that there is minimal rebound once the intervention is stopped. To minimise the peak prevalence, it should start earlier, leading to initial reduction and then having a rebound to the same prevalence as the pre-intervention peak rather than one very large peak. To delay infections as much as possible (as might be appropriate if we expect improved interventions or treatments to be developed), earlier interventions have clear benefit. In populations with distinct subgroups, synchronized interventions are less effective than targeting the interventions in each subcommunity separately.
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Affiliation(s)
- Francesco Di Lauro
- Department of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton United Kingdom
| | - István Z. Kiss
- Department of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton United Kingdom
| | - Joel C. Miller
- Department of Mathematics and Statistics, School of Engineering and Mathematical Sciences, La Trobe University, Bundoora, Australia
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31
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Ryabkova VA, Churilov LP, Shoenfeld Y. COVID-19 and ABO blood groups. Isr Med Assoc J 2021; 23:140-142. [PMID: 33734622] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [MESH Headings] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Affiliation(s)
- Varvara A Ryabkova
- Laboratory of the Mosaic of Autoimmunity, Department of Pathology, Faculty of Medicine, Saint Petersburg State University, Russia
| | - Leonid P Churilov
- Laboratory of the Mosaic of Autoimmunity, Department of Pathology, Faculty of Medicine, Saint Petersburg State University, Russia
| | - Yehuda Shoenfeld
- Laboratory of the Mosaic of Autoimmunity, Department of Pathology, Faculty of Medicine, Saint Petersburg State University, Russia
- Department of Medicine 'B', Sheba Medical Center, Tel Hashomer, Israel
- Zabludowicz Center for Autoimmune Diseases, Sheba Medical Center, Tel Hashomer, Israel
- Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel
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32
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Gevertz JL, Greene JM, Sanchez-Tapia CH, Sontag ED. A novel COVID-19 epidemiological model with explicit susceptible and asymptomatic isolation compartments reveals unexpected consequences of timing social distancing. J Theor Biol 2021; 510:110539. [PMID: 33242489 PMCID: PMC7840295 DOI: 10.1016/j.jtbi.2020.110539] [Citation(s) in RCA: 28] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2020] [Revised: 10/07/2020] [Accepted: 11/06/2020] [Indexed: 02/08/2023]
Abstract
Motivated by the current COVID-19 epidemic, this work introduces an epidemiological model in which separate compartments are used for susceptible and asymptomatic "socially distant" populations. Distancing directives are represented by rates of flow into these compartments, as well as by a reduction in contacts that lessens disease transmission. The dynamical behavior of this system is analyzed, under various different rate control strategies, and the sensitivity of the basic reproduction number to various parameters is studied. One of the striking features of this model is the existence of a critical implementation delay (CID) in issuing distancing mandates: while a delay of about two weeks does not have an appreciable effect on the peak number of infections, issuing mandates even slightly after this critical time results in a far greater incidence of infection. Thus, there is a nontrivial but tight "window of opportunity" for commencing social distancing in order to meet the capacity of healthcare resources. However, if one wants to also delay the timing of peak infections - so as to take advantage of potential new therapies and vaccines - action must be taken much faster than the CID. Different relaxation strategies are also simulated, with surprising results. Periodic relaxation policies suggest a schedule which may significantly inhibit peak infective load, but that this schedule is very sensitive to parameter values and the schedule's frequency. Furthermore, we considered the impact of steadily reducing social distancing measures over time. We find that a too-sudden reopening of society may negate the progress achieved under initial distancing guidelines, but the negative effects can be mitigated if the relaxation strategy is carefully designed.
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Affiliation(s)
- Jana L Gevertz
- Department of Mathematics and Statistics, The College of New Jersey, Ewing, NJ, United States
| | - James M Greene
- Department of Mathematics, Clarkson University, Potsdam, NY, United States
| | - Cynthia H Sanchez-Tapia
- Department of Mathematics, College of Natural and Behavioral Sciences, California State University Dominguez Hills, Carson, CA, United States
| | - Eduardo D Sontag
- Department of Electrical and Computer Engineering and Department of Bioengineering, Northeastern University, Boston, MA, United States; Laboratory of Systems Pharmacology, Program in Therapeutic Science, Harvard Medical School, Boston, MA, United States.
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33
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Gevertz JL, Greene JM, Sanchez-Tapia CH, Sontag ED. A novel COVID-19 epidemiological model with explicit susceptible and asymptomatic isolation compartments reveals unexpected consequences of timing social distancing. J Theor Biol 2021. [PMID: 33242489 DOI: 10.1101/2020.05.11.20098335] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/15/2023]
Abstract
Motivated by the current COVID-19 epidemic, this work introduces an epidemiological model in which separate compartments are used for susceptible and asymptomatic "socially distant" populations. Distancing directives are represented by rates of flow into these compartments, as well as by a reduction in contacts that lessens disease transmission. The dynamical behavior of this system is analyzed, under various different rate control strategies, and the sensitivity of the basic reproduction number to various parameters is studied. One of the striking features of this model is the existence of a critical implementation delay (CID) in issuing distancing mandates: while a delay of about two weeks does not have an appreciable effect on the peak number of infections, issuing mandates even slightly after this critical time results in a far greater incidence of infection. Thus, there is a nontrivial but tight "window of opportunity" for commencing social distancing in order to meet the capacity of healthcare resources. However, if one wants to also delay the timing of peak infections - so as to take advantage of potential new therapies and vaccines - action must be taken much faster than the CID. Different relaxation strategies are also simulated, with surprising results. Periodic relaxation policies suggest a schedule which may significantly inhibit peak infective load, but that this schedule is very sensitive to parameter values and the schedule's frequency. Furthermore, we considered the impact of steadily reducing social distancing measures over time. We find that a too-sudden reopening of society may negate the progress achieved under initial distancing guidelines, but the negative effects can be mitigated if the relaxation strategy is carefully designed.
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Affiliation(s)
- Jana L Gevertz
- Department of Mathematics and Statistics, The College of New Jersey, Ewing, NJ, United States
| | - James M Greene
- Department of Mathematics, Clarkson University, Potsdam, NY, United States
| | - Cynthia H Sanchez-Tapia
- Department of Mathematics, College of Natural and Behavioral Sciences, California State University Dominguez Hills, Carson, CA, United States
| | - Eduardo D Sontag
- Department of Electrical and Computer Engineering and Department of Bioengineering, Northeastern University, Boston, MA, United States; Laboratory of Systems Pharmacology, Program in Therapeutic Science, Harvard Medical School, Boston, MA, United States.
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34
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Pal A, Ahirwar AK, Sakarde A, Asia P, Gopal N, Alam S, Kaim K, Ahirwar P, Sorte SR. COVID-19 and cardiovascular disease: a review of current knowledge. Horm Mol Biol Clin Investig 2021; 42:99-104. [PMID: 33544511 DOI: 10.1515/hmbci-2020-0052] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2020] [Accepted: 01/14/2021] [Indexed: 12/18/2022]
Abstract
The uncontrolled spread of the COVID-19 pandemic which originated in China created a global turmoil. While the world is still busy figuring out a cure for the deadly disease, scientists worked out on many theories and conducted several studies to establish a relationship between the infection and other known diseases. Cardiovascular diseases (CVD) are one of the major complications of this infection after the respiratory manifestations. Individuals with cardiovascular complication are said to be more susceptible to acquiring the infection because the novel coronavirus uses the ACE2 receptor for its entry inside the cell and there is a high level of ACE2 expression in individuals with cardiovascular complications because of the enzyme's anti-hypertrophic, anti-fibrotic and anti-hypertensive effects on the heart. Individuals who belong to the older age group are also more susceptible. Knowing the above information, it might seem that using ACE2 inhibitors would help to slow or prevent the entry of the novel coronavirus but it would also at the same time prove to have deleterious effects on the cardiovascular system as the protective functions of ACE2 would be lost. While the search for a cure still continues it has been stated many a times that the conditions might worsen with time and the only way to keep ourselves and our family safe would be to follow the appropriate social distancing methods and get a COVID test if we experience any of the major symptoms.
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Affiliation(s)
- Aastha Pal
- All India Institute of Medical Sciences, Nagpur, Maharashtra, India
| | - Ashok Kumar Ahirwar
- Department of Biochemistry, All India Institute of Medical Sciences, Nagpur, Maharashtra, India
| | - Apurva Sakarde
- Department of Biochemistry, All India Institute of Medical Sciences, Nagpur, Maharashtra, India
| | - Priyanka Asia
- Department of Biochemistry, All India Institute of Medical Sciences, Nagpur, Maharashtra, India
| | - Niranjan Gopal
- Department of Biochemistry, All India Institute of Medical Sciences, Nagpur, Maharashtra, India
| | - Sana Alam
- Department of Biochemistry, Hamdard Institute of Medical Sciences and Research, New Delhi, India
| | - Kirti Kaim
- Department of Ophthalmology, Indira Gandhi ESI Hospital, New Delhi, India
| | | | - Smita R Sorte
- Department of Physiology, All India Institute of Medical Sciences, Nagpur, Maharashtra, India
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35
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Viner RM, Mytton OT, Bonell C, Melendez-Torres GJ, Ward J, Hudson L, Waddington C, Thomas J, Russell S, van der Klis F, Koirala A, Ladhani S, Panovska-Griffiths J, Davies NG, Booy R, Eggo RM. Susceptibility to SARS-CoV-2 Infection Among Children and Adolescents Compared With Adults: A Systematic Review and Meta-analysis. JAMA Pediatr 2021; 175:143-156. [PMID: 32975552 DOI: 10.1101/2020.05.20.20108126] [Citation(s) in RCA: 28] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
IMPORTANCE The degree to which children and adolescents are infected by and transmit severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is unclear. The role of children and adolescents in transmission of SARS-CoV-2 is dependent on susceptibility, symptoms, viral load, social contact patterns, and behavior. OBJECTIVE To systematically review the susceptibility to and transmission of SARS-CoV-2 among children and adolescents compared with adults. DATA SOURCES PubMed and medRxiv were searched from database inception to July 28, 2020, and a total of 13 926 studies were identified, with additional studies identified through hand searching of cited references and professional contacts. STUDY SELECTION Studies that provided data on the prevalence of SARS-CoV-2 in children and adolescents (younger than 20 years) compared with adults (20 years and older) derived from contact tracing or population screening were included. Single-household studies were excluded. DATA EXTRACTION AND SYNTHESIS PRISMA guidelines for abstracting data were followed, which was performed independently by 2 reviewers. Quality was assessed using a critical appraisal checklist for prevalence studies. Random-effects meta-analysis was undertaken. MAIN OUTCOMES AND MEASURES Secondary infection rate (contact-tracing studies) or prevalence or seroprevalence (population screening studies) among children and adolescents compared with adults. RESULTS A total of 32 studies comprising 41 640 children and adolescents and 268 945 adults met inclusion criteria, including 18 contact-tracing studies and 14 population screening studies. The pooled odds ratio of being an infected contact in children compared with adults was 0.56 (95% CI, 0.37-0.85), with substantial heterogeneity (I2 = 94.6%). Three school-based contact-tracing studies found minimal transmission from child or teacher index cases. Findings from population screening studies were heterogenous and were not suitable for meta-analysis. Most studies were consistent with lower seroprevalence in children compared with adults, although seroprevalence in adolescents appeared similar to adults. CONCLUSIONS AND RELEVANCE In this meta-analysis, there is preliminary evidence that children and adolescents have lower susceptibility to SARS-CoV-2, with an odds ratio of 0.56 for being an infected contact compared with adults. There is weak evidence that children and adolescents play a lesser role than adults in transmission of SARS-CoV-2 at a population level. This study provides no information on the infectivity of children.
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Affiliation(s)
- Russell M Viner
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Oliver T Mytton
- MRC Epidemiology Unit, University of Cambridge, Cambridge, United Kingdom
| | - Chris Bonell
- London School of Hygiene and Tropical Medicine, London, United Kingdom
| | - G J Melendez-Torres
- College of Medicine and Health, University of Exeter, Exeter, United Kingdom
| | - Joseph Ward
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Lee Hudson
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Claire Waddington
- Department of Medicine, University of Cambridge, Cambridge, United Kingdom
| | - James Thomas
- UCL Institute of Education, London, United Kingdom
| | - Simon Russell
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Fiona van der Klis
- National Institute for Public Health and the Environment (RIVM), Bilthoven, the Netherlands
| | | | - Shamez Ladhani
- St George's University of London, London, United Kingdom
| | | | - Nicholas G Davies
- London School of Hygiene and Tropical Medicine, London, United Kingdom
| | | | - Rosalind M Eggo
- London School of Hygiene and Tropical Medicine, London, United Kingdom
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36
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Viner RM, Mytton OT, Bonell C, Melendez-Torres GJ, Ward J, Hudson L, Waddington C, Thomas J, Russell S, van der Klis F, Koirala A, Ladhani S, Panovska-Griffiths J, Davies NG, Booy R, Eggo RM. Susceptibility to SARS-CoV-2 Infection Among Children and Adolescents Compared With Adults: A Systematic Review and Meta-analysis. JAMA Pediatr 2021; 175:143-156. [PMID: 32975552 PMCID: PMC7519436 DOI: 10.1001/jamapediatrics.2020.4573] [Citation(s) in RCA: 529] [Impact Index Per Article: 176.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/08/2020] [Accepted: 08/23/2020] [Indexed: 12/23/2022]
Abstract
Importance The degree to which children and adolescents are infected by and transmit severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is unclear. The role of children and adolescents in transmission of SARS-CoV-2 is dependent on susceptibility, symptoms, viral load, social contact patterns, and behavior. Objective To systematically review the susceptibility to and transmission of SARS-CoV-2 among children and adolescents compared with adults. Data Sources PubMed and medRxiv were searched from database inception to July 28, 2020, and a total of 13 926 studies were identified, with additional studies identified through hand searching of cited references and professional contacts. Study Selection Studies that provided data on the prevalence of SARS-CoV-2 in children and adolescents (younger than 20 years) compared with adults (20 years and older) derived from contact tracing or population screening were included. Single-household studies were excluded. Data Extraction and Synthesis PRISMA guidelines for abstracting data were followed, which was performed independently by 2 reviewers. Quality was assessed using a critical appraisal checklist for prevalence studies. Random-effects meta-analysis was undertaken. Main Outcomes and Measures Secondary infection rate (contact-tracing studies) or prevalence or seroprevalence (population screening studies) among children and adolescents compared with adults. Results A total of 32 studies comprising 41 640 children and adolescents and 268 945 adults met inclusion criteria, including 18 contact-tracing studies and 14 population screening studies. The pooled odds ratio of being an infected contact in children compared with adults was 0.56 (95% CI, 0.37-0.85), with substantial heterogeneity (I2 = 94.6%). Three school-based contact-tracing studies found minimal transmission from child or teacher index cases. Findings from population screening studies were heterogenous and were not suitable for meta-analysis. Most studies were consistent with lower seroprevalence in children compared with adults, although seroprevalence in adolescents appeared similar to adults. Conclusions and Relevance In this meta-analysis, there is preliminary evidence that children and adolescents have lower susceptibility to SARS-CoV-2, with an odds ratio of 0.56 for being an infected contact compared with adults. There is weak evidence that children and adolescents play a lesser role than adults in transmission of SARS-CoV-2 at a population level. This study provides no information on the infectivity of children.
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Affiliation(s)
- Russell M. Viner
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Oliver T. Mytton
- MRC Epidemiology Unit, University of Cambridge, Cambridge, United Kingdom
| | - Chris Bonell
- London School of Hygiene and Tropical Medicine, London, United Kingdom
| | | | - Joseph Ward
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Lee Hudson
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Claire Waddington
- Department of Medicine, University of Cambridge, Cambridge, United Kingdom
| | - James Thomas
- UCL Institute of Education, London, United Kingdom
| | - Simon Russell
- UCL Great Ormond Street Institute of Child Health, London, United Kingdom
| | - Fiona van der Klis
- National Institute for Public Health and the Environment (RIVM), Bilthoven, the Netherlands
| | | | - Shamez Ladhani
- St George’s University of London, London, United Kingdom
| | | | | | | | - Rosalind M. Eggo
- London School of Hygiene and Tropical Medicine, London, United Kingdom
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Pendu JL, Breiman A, Rocher J, Dion M, Ruvoën-Clouet N. ABO Blood Types and COVID-19: Spurious, Anecdotal, or Truly Important Relationships? A Reasoned Review of Available Data. Viruses 2021; 13:160. [PMID: 33499228 PMCID: PMC7911989 DOI: 10.3390/v13020160] [Citation(s) in RCA: 47] [Impact Index Per Article: 15.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2020] [Revised: 01/19/2021] [Accepted: 01/19/2021] [Indexed: 12/19/2022] Open
Abstract
Since the emergence of COVID-19, many publications have reported associations with ABO blood types. Despite between-study discrepancies, an overall consensus has emerged whereby blood group O appears associated with a lower risk of COVID-19, while non-O blood types appear detrimental. Two major hypotheses may explain these findings: First, natural anti-A and anti-B antibodies could be partially protective against SARS-CoV-2 virions carrying blood group antigens originating from non-O individuals. Second, O individuals are less prone to thrombosis and vascular dysfunction than non-O individuals and therefore could be at a lesser risk in case of severe lung dysfunction. Here, we review the literature on the topic in light of these hypotheses. We find that between-study variation may be explained by differences in study settings and that both mechanisms are likely at play. Moreover, as frequencies of ABO phenotypes are highly variable between populations or geographical areas, the ABO coefficient of variation, rather than the frequency of each individual phenotype is expected to determine impact of the ABO system on virus transmission. Accordingly, the ABO coefficient of variation correlates with COVID-19 prevalence. Overall, despite modest apparent risk differences between ABO subtypes, the ABO blood group system might play a major role in the COVID-19 pandemic when considered at the population level.
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Affiliation(s)
- Jacques Le Pendu
- CRCINA, INSERM, Université de Nantes, F-44000 Nantes, France; (A.B.); (J.R.); (N.R.-C.)
| | - Adrien Breiman
- CRCINA, INSERM, Université de Nantes, F-44000 Nantes, France; (A.B.); (J.R.); (N.R.-C.)
- CHU de Nantes, F-44000 Nantes, France
| | - Jézabel Rocher
- CRCINA, INSERM, Université de Nantes, F-44000 Nantes, France; (A.B.); (J.R.); (N.R.-C.)
| | - Michel Dion
- Microbiotes Hosts Antibiotics and Bacterial Resistances (MiHAR), Université de Nantes, F-44000 Nantes, France;
| | - Nathalie Ruvoën-Clouet
- CRCINA, INSERM, Université de Nantes, F-44000 Nantes, France; (A.B.); (J.R.); (N.R.-C.)
- Oniris, Ecole Nationale Vétérinaire, Agroalimentaire et de l’Alimentation, F-44307 Nantes, France
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38
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Yalaoui S, Fakhfakh R, Tritar F, Chaouch N, Mestiri T, Besbes M, Hamzaoui A. ABO blood groups and risk of covid-19. Tunis Med 2020; 98:888-891. [PMID: 33479990] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [MESH Headings] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
INTRODUCTION Coronavirus pandemic has been the subject of a large number of publications, some of which have shown an increased risk of contracting Covid-19 in carriers of blood group A. AIMS In this study we looked at the profile of blood group phenotype of a series of Tunisian patients with covid-19 admitted to Abderrahman Mami hospital in Ariana . METHODS Our study included 51 Tunisian patients with SARS-CoV-2 infection admitted to Abderrahmane Mami hospital between late march 2020 and early May 2020. The distribution of blood groups in Covid-19 patients was compared with that of a control group of 1506 patients with no Covid-19 infection as well as with the distribution of blood groups in a population of 63375 voluntary blood donors. RESULTS Our series, although limited in size, showed a higher prevalence of blood group A among Covid-19 patients, statistically significant compared to ABO blood group distribution among Tunisian blood donors and among a control group of patients without Covid -19. CONCLUSION these results are in line with data from the literature, particularly on larger series in China.
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Abstract
In light of the most challenging public health crisis of modern history, COVID-19 mortality continues to rise at an alarming rate. Patients with co-morbidities such as hypertension, cardiovascular disease, and diabetes mellitus (DM) seem to be more prone to severe symptoms and appear to have a higher mortality rate. In this review, we elucidate suggested mechanisms underlying the increased susceptibility of patients with diabetes to infection with SARS-CoV-2 with a more severe COVID-19 disease. The worsened prognosis of COVID-19 patients with DM can be attributed to a facilitated viral uptake assisted by the host's receptor angiotensin-converting enzyme 2 (ACE2). It can also be associated with a higher basal level of pro-inflammatory cytokines present in patients with diabetes, which enables a hyperinflammatory "cytokine storm" in response to the virus. This review also suggests a link between elevated levels of IL-6 and AMPK/mTOR signaling pathway and their role in exacerbating diabetes-induced complications and insulin resistance. If further studied, these findings could help identify novel therapeutic intervention strategies for patients with diabetes comorbid with COVID-19.
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Affiliation(s)
- William S Azar
- Department of Anatomy, Cell Biology and Physiological Sciences, Faculty of Medicine and Medical Center, American University of Beirut, Bliss Street, 11-0236, Riad El-Solh, Beirut, 1107-2020, Lebanon
- AUB Diabetes, American University of Beirut, Beirut, Lebanon
- Department of Physiology and Biophysics, Georgetown University Medical Center, Washington, DC, USA
| | - Rachel Njeim
- Department of Anatomy, Cell Biology and Physiological Sciences, Faculty of Medicine and Medical Center, American University of Beirut, Bliss Street, 11-0236, Riad El-Solh, Beirut, 1107-2020, Lebanon
- AUB Diabetes, American University of Beirut, Beirut, Lebanon
| | - Angie H Fares
- Department of Anatomy, Cell Biology and Physiological Sciences, Faculty of Medicine and Medical Center, American University of Beirut, Bliss Street, 11-0236, Riad El-Solh, Beirut, 1107-2020, Lebanon
- AUB Diabetes, American University of Beirut, Beirut, Lebanon
| | - Nadim S Azar
- Department of Anatomy, Cell Biology and Physiological Sciences, Faculty of Medicine and Medical Center, American University of Beirut, Bliss Street, 11-0236, Riad El-Solh, Beirut, 1107-2020, Lebanon
- AUB Diabetes, American University of Beirut, Beirut, Lebanon
| | - Sami T Azar
- AUB Diabetes, American University of Beirut, Beirut, Lebanon
- Department of Internal Medicine, Faculty of Medicine and Medical Center, American University of Beirut, Beirut, Lebanon
| | - Mazen El Sayed
- Department of Emergency Medicine, Faculty of Medicine and Medical Center, American University of Beirut, Beirut, Lebanon
| | - Assaad A Eid
- Department of Anatomy, Cell Biology and Physiological Sciences, Faculty of Medicine and Medical Center, American University of Beirut, Bliss Street, 11-0236, Riad El-Solh, Beirut, 1107-2020, Lebanon.
- AUB Diabetes, American University of Beirut, Beirut, Lebanon.
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40
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van den Driessche P, Yakubu AA. Age structured discrete-time disease models with demographic population cycles. J Biol Dyn 2020; 14:308-331. [PMID: 32301682 DOI: 10.1080/17513758.2020.1743885] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2019] [Accepted: 01/27/2020] [Indexed: 06/11/2023]
Abstract
We use juvenile-adult discrete-time infectious disease models with intrinsically generated demographic population cycles to study the effects of age structure on the persistence or extinction of disease and the basic reproduction number, [Formula: see text]. Our juvenile-adult Susceptible-Infectious-Recovered (SIR) and Infectious-Salmon Anemia-Virus (ISA[Formula: see text] models share a common disease-free system that exhibits equilibrium dynamics for the Beverton-Holt recruitment function. However, when the recruitment function is the Ricker model, a juvenile-adult disease-free system exhibits a range of dynamic behaviours from stable equilibria to deterministic period k population cycles to Neimark-Sacker bifurcations and deterministic chaos. For these two models, we use an extension of the next generation matrix approach for calculating [Formula: see text] to account for populations with locally asymptotically stable period k cycles in the juvenile-adult disease-free system. When [Formula: see text] and the juvenile-adult demographic system (in the absence of the disease) has a locally asymptotically stable period k population cycle, we prove that the juvenile-adult disease goes extinct whenever [Formula: see text]. Under the same period k juvenile-adult demographic assumption but with [Formula: see text], we prove that the juvenile-adult disease-free period k population cycle is unstable and the disease persists. When [Formula: see text], our simulations show that the juvenile-adult disease-free period k cycle dynamics drives the juvenile-adult SIR disease dynamics, but not the juvenile-adult ISAv disease dynamics.
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Affiliation(s)
- P van den Driessche
- Department of Mathematics and Statistics, University of Victoria, Victoria, Canada
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41
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Shi Y. Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate. J Biol Dyn 2020; 14:269-288. [PMID: 32281489 DOI: 10.1080/17513758.2020.1718222] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2019] [Accepted: 01/10/2020] [Indexed: 06/11/2023]
Abstract
In this paper, Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate and the effect of periodic and bounded noise on the chaotic motion of SIR model possessing homoclinic orbits are detailed investigated. Based on homoclinic bifurcation, necessary conditions for possible chaotic motion as well as sufficient condition are derived by the random Melnikov theorem, and to establish the threshold of bounded noise amplitude for the onset of chaos.
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Affiliation(s)
- Yanxiang Shi
- School of Mathematical Sciences, Shanxi University, Taiyuan, People's Republic of China
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42
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Martcheva M, Inaba H. A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. J Biol Dyn 2020; 14:543-565. [PMID: 32615869 DOI: 10.1080/17513758.2020.1785024] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/26/2019] [Accepted: 06/14/2020] [Indexed: 06/11/2023]
Abstract
Backward bifurcation is an important property of infectious disease models. A centre manifold method has been developed by Castillo-Chavez and Song for detecting the presence of backward bifurcation and deriving a necessary and sufficient condition for its occurrence in Ordinary Differential Equations (ODE) models. In this paper, we extend this method to partial differential equation systems. First, we state a main theorem. Next we illustrate the application of the new method on a chronological age-structured Susceptible-Infected-Susceptible (SIS) model with density-dependent recovery rate, an age-since-infection structured HIV/AIDS model with standard incidence and an age-since-infection structured cholera model with vaccination.
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Affiliation(s)
- Maia Martcheva
- Department of Mathematics, University of Florida, Gainesville, FL, USA
| | - Hisashi Inaba
- Graduate School of Mathematical Sciences, The University of Tokyo, Meguro-ku Tokyo, Japan
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43
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Abstract
We combine COVID-19 case data with mobility data to estimate a modified susceptible-infected-recovered (SIR) model in the United States. In contrast to a standard SIR model, we find that the incidence of COVID-19 spread is concave in the number of infectious individuals, as would be expected if people have inter-related social networks. This concave shape has a significant impact on forecasted COVID-19 cases. In particular, our model forecasts that the number of COVID-19 cases would only have an exponential growth for a brief period at the beginning of the contagion event or right after a reopening, but would quickly settle into a prolonged period of time with stable, slightly declining levels of disease spread. This pattern is consistent with observed levels of COVID-19 cases in the US, but inconsistent with standard SIR modeling. We forecast rates of new cases for COVID-19 under different social distancing norms and find that if social distancing is eliminated there will be a massive increase in the cases of COVID-19.
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Affiliation(s)
- Meng Liu
- Olin Business School, Washington University in St. Louis, Missouri, 63130, USA
| | - Raphael Thomadsen
- Olin Business School, Washington University in St. Louis, Missouri, 63130, USA
| | - Song Yao
- Olin Business School, Washington University in St. Louis, Missouri, 63130, USA.
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44
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Kuylen E, Willem L, Broeckhove J, Beutels P, Hens N. Clustering of susceptible individuals within households can drive measles outbreaks: an individual-based model exploration. Sci Rep 2020; 10:19645. [PMID: 33184409 PMCID: PMC7665185 DOI: 10.1038/s41598-020-76746-3] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/10/2019] [Accepted: 10/19/2020] [Indexed: 01/18/2023] Open
Abstract
When estimating important measures such as the herd immunity threshold, and the corresponding efforts required to eliminate measles, it is often assumed that susceptible individuals are uniformly distributed throughout populations. However, unvaccinated individuals may be clustered in a variety of ways, including by geographic location, by age, in schools, or in households. Here, we investigate to which extent different levels of within-household clustering of susceptible individuals may impact the risk and persistence of measles outbreaks. To this end, we apply an individual-based model, Stride, to a population of 600,000 individuals, using data from Flanders, Belgium. We construct a metric to estimate the level of within-household susceptibility clustering in the population. Furthermore, we compare realistic scenarios regarding the distribution of susceptible individuals within households in terms of their impact on epidemiological measures for outbreak risk and persistence. We find that higher levels of within-household clustering of susceptible individuals increase the risk, size and persistence of measles outbreaks. Ignoring within-household clustering thus leads to underestimations of required measles elimination and outbreak mitigation efforts.
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Affiliation(s)
- Elise Kuylen
- Centre for Health Economics Research and Modelling Infectious Diseases (CHERMID), Vaccine and Infectious Disease Institute, University of Antwerp, Antwerp, Belgium.
- Data Science Institute (DSI), Hasselt University, Hasselt, Belgium.
| | - Lander Willem
- Centre for Health Economics Research and Modelling Infectious Diseases (CHERMID), Vaccine and Infectious Disease Institute, University of Antwerp, Antwerp, Belgium
| | - Jan Broeckhove
- IDLab, Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium
| | - Philippe Beutels
- Centre for Health Economics Research and Modelling Infectious Diseases (CHERMID), Vaccine and Infectious Disease Institute, University of Antwerp, Antwerp, Belgium
| | - Niel Hens
- Centre for Health Economics Research and Modelling Infectious Diseases (CHERMID), Vaccine and Infectious Disease Institute, University of Antwerp, Antwerp, Belgium
- Data Science Institute (DSI), Hasselt University, Hasselt, Belgium
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45
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Mandal M, Jana S, Khatua A, Kar TK. Modeling and control of COVID-19: A short-term forecasting in the context of India. Chaos 2020; 30:113119. [PMID: 33261356 DOI: 10.1063/5.0015330] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/27/2020] [Accepted: 10/20/2020] [Indexed: 05/24/2023]
Abstract
The coronavirus disease 2019 (COVID-19) outbreak, due to SARS-CoV-2 (severe acute respiratory syndrome coronavirus 2), originated in Wuhan, China and is now a global pandemic. The unavailability of vaccines, delays in diagnosis of the disease, and lack of proper treatment resources are the leading causes of the rapid spread of COVID-19. The world is now facing a rapid loss of human lives and socioeconomic status. As a mathematical model can provide some real pictures of the disease spread, enabling better prevention measures. In this study, we propose and analyze a mathematical model to describe the COVID-19 pandemic. We have derived the threshold parameter basic reproduction number, and a detailed sensitivity analysis of this most crucial threshold parameter has been performed to determine the most sensitive indices. Finally, the model is applied to describe COVID-19 scenarios in India, the second-largest populated country in the world, and some of its vulnerable states. We also have short-term forecasting of COVID-19, and we have observed that controlling only one model parameter can significantly reduce the disease's vulnerability.
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Affiliation(s)
- Manotosh Mandal
- Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk 721636, West Bengal, India
| | - Soovoojeet Jana
- Department of Mathematics, Ramsaday College, Amta 711401, Howrah, West Bengal, India
| | - Anupam Khatua
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
| | - T K Kar
- Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India
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46
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Bu H, Xue X. Statistical inference for unknown parameters of stochastic SIS epidemics on complete graphs. Chaos 2020; 30:113110. [PMID: 33261326 DOI: 10.1063/5.0022421] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/22/2020] [Accepted: 10/19/2020] [Indexed: 06/12/2023]
Abstract
In this paper, we are concerned with the stochastic susceptible-infectious-susceptible epidemic model on the complete graph with n vertices. This model has two parameters, which are the infection rate and the recovery rate. By utilizing the theory of density-dependent Markov chains, we give consistent estimations of the above two parameters as n grows to infinity according to the sample path of the model in a finite time interval. Furthermore, we establish the central limit theorem (CLT) and the moderate deviation principle (MDP) of our estimations. As an application of our CLT, reject regions of hypothesis testings of two parameters are given. As an application of our MDP, confidence intervals of parameters with lengths converging to 0 while confidence levels converging to 1 are given as n grows to infinity.
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Affiliation(s)
- Huazheng Bu
- School of Science, Beijing Jiaotong University, Beijing 100044, China
| | - Xiaofeng Xue
- School of Science, Beijing Jiaotong University, Beijing 100044, China
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47
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Faranda D, Alberti T. Modeling the second wave of COVID-19 infections in France and Italy via a stochastic SEIR model. Chaos 2020; 30:111101. [PMID: 33261336 DOI: 10.1063/5.0015943] [Citation(s) in RCA: 28] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/31/2020] [Accepted: 10/07/2020] [Indexed: 05/26/2023]
Abstract
COVID-19 has forced quarantine measures in several countries across the world. These measures have proven to be effective in significantly reducing the prevalence of the virus. To date, no effective treatment or vaccine is available. In the effort of preserving both public health and the economical and social textures, France and Italy governments have partially released lockdown measures. Here, we extrapolate the long-term behavior of the epidemic in both countries using a susceptible-exposed-infected-recovered model, where parameters are stochastically perturbed with a lognormal distribution to handle the uncertainty in the estimates of COVID-19 prevalence and to simulate the presence of super-spreaders. Our results suggest that uncertainties in both parameters and initial conditions rapidly propagate in the model and can result in different outcomes of the epidemic leading or not to a second wave of infections. Furthermore, the presence of super-spreaders adds instability to the dynamics, making the control of the epidemic more difficult. Using actual knowledge, asymptotic estimates of COVID-19 prevalence can fluctuate of the order of 10×106 units in both countries.
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Affiliation(s)
- Davide Faranda
- Laboratoire des Sciences du Climat et de l'Environnement, CEA Saclay l'Orme des Merisiers, UMR 8212 CEA-CNRS-UVSQ, Université Paris-Saclay & IPSL, 91191 Gif-sur-Yvette, France
| | - Tommaso Alberti
- INAF-Istituto di Astrofisica e Planetologia Spaziali, Via del Fosso del Cavaliere 100, 00133 Roma, Italy
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48
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Radwan NM, Mahmoud NE, Alfaifi AH, Alabdulkareem KI. Comorbidities and severity of coronavirus disease 2019 patients. Saudi Med J 2020; 41:1165-1174. [PMID: 33130835 PMCID: PMC7804237 DOI: 10.15537/smj.2020.11.25454] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2020] [Accepted: 09/28/2020] [Indexed: 01/08/2023] Open
Abstract
OBJECTIVES To determine the association between comorbidities and the severity of the disease among COVID-19 patients. METHODS We searched the Cochrane, Medline, Trip, and EMBASE databases from 2019. The review included all available studies of COVID-19 patients published in the English language and studied the clinical characteristics, comorbidities, and disease outcomes from the beginning of the pandemic. Two authors extracted studies characteristics and the risk of bias. Odds ratio (OR) was used to analyze the data with 95% confidence interval (CI). RESULTS The review included 1,885 COVID-19 patients from 7 observational studies with some degree of bias risk and substantial heterogeneity. A significant association was recorded between COVID-19 severity and the following variables: male (OR= 1.60, 95%CI= 1.05 - 2.43); current smoker (OR=2.06, 95%CI= 1.08 - 3.94); and the presence of comorbidities including hypertension (OR=2.05, 95%CI= 1.56 - 2.70), diabetes (OR=2.46, 95%CI= 1.53 - 3.96), coronary heart disease (OR=4.10, 95%CI= 2.36 - 7.12), chronic kidney disease (OR=4.06, 95%CI= 1.45 - 11.35), and cancer (OR=2.28, 95%CI= 1.08 - 4.81). CONCLUSIONS Comorbidities among COVID-19 patients may contribute to increasing their susceptibility to severe illness. The identification of these potential risk factors could help reduce mortality by identifying patients with poor prognosis at an early stage.
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Affiliation(s)
- Nashwa M Radwan
- Ministry of Health, Riyadh, Kingdom of Saudi Arabia. E-mail.
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49
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Alanazi SA, Kamruzzaman MM, Alruwaili M, Alshammari N, Alqahtani SA, Karime A. Measuring and Preventing COVID-19 Using the SIR Model and Machine Learning in Smart Health Care. J Healthc Eng 2020; 2020:8857346. [PMID: 33204404 PMCID: PMC7643377 DOI: 10.1155/2020/8857346] [Citation(s) in RCA: 52] [Impact Index Per Article: 13.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/31/2020] [Revised: 10/05/2020] [Accepted: 10/14/2020] [Indexed: 11/29/2022]
Abstract
COVID-19 presents an urgent global challenge because of its contagious nature, frequently changing characteristics, and the lack of a vaccine or effective medicines. A model for measuring and preventing the continued spread of COVID-19 is urgently required to provide smart health care services. This requires using advanced intelligent computing such as artificial intelligence, machine learning, deep learning, cognitive computing, cloud computing, fog computing, and edge computing. This paper proposes a model for predicting COVID-19 using the SIR and machine learning for smart health care and the well-being of the citizens of KSA. Knowing the number of susceptible, infected, and recovered cases each day is critical for mathematical modeling to be able to identify the behavioral effects of the pandemic. It forecasts the situation for the upcoming 700 days. The proposed system predicts whether COVID-19 will spread in the population or die out in the long run. Mathematical analysis and simulation results are presented here as a means to forecast the progress of the outbreak and its possible end for three types of scenarios: "no actions," "lockdown," and "new medicines." The effect of interventions like lockdown and new medicines is compared with the "no actions" scenario. The lockdown case delays the peak point by decreasing the infection and affects the area equality rule of the infected curves. On the other side, new medicines have a significant impact on infected curve by decreasing the number of infected people about time. Available forecast data on COVID-19 using simulations predict that the highest level of cases might occur between 15 and 30 November 2020. Simulation data suggest that the virus might be fully under control only after June 2021. The reproductive rate shows that measures such as government lockdowns and isolation of individuals are not enough to stop the pandemic. This study recommends that authorities should, as soon as possible, apply a strict long-term containment strategy to reduce the epidemic size successfully.
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Affiliation(s)
- Saad Awadh Alanazi
- Department of Computer Science, College of Computer and Information Sciences, Jouf University, Sakakah, Saudi Arabia
| | - M. M. Kamruzzaman
- Department of Computer Science, College of Computer and Information Sciences, Jouf University, Sakakah, Saudi Arabia
| | - Madallah Alruwaili
- Department of Computer Engineering and Networks, College of Computer and Information Sciences, Jouf University, Sakakah, Saudi Arabia
| | - Nasser Alshammari
- Department of Computer Science, College of Computer and Information Sciences, Jouf University, Sakakah, Saudi Arabia
| | - Salman Ali Alqahtani
- Department of Computer Engineering, College of Computer and Information Sciences, King Saud University, P.O. Box: 51178, Riyadh 11543, Saudi Arabia
| | - Ali Karime
- Department of Electrical and Computer Engineering, Royal Military College of Canada, Kingston, Canada
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50
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Abstract
The rapid growth rate of COVID-19 continues to threaten to overwhelm healthcare systems in multiple countries. In response, severely affected countries have had to impose a range of public health strategies achieved via nonpharmaceutical interventions. Broadly, these strategies have fallen into two categories: 1) "mitigation," which aims to achieve herd immunity by allowing the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) virus to spread through the population while mitigating disease burden, and 2) "suppression," aiming to drastically reduce SARS-CoV-2 transmission rates and halt endogenous transmission in the target population. Using an age-structured transmission model, parameterized to simulate SARS-CoV-2 transmission in the United Kingdom, we assessed the long-term prospects of success using both of these approaches. We simulated a range of different nonpharmaceutical intervention scenarios incorporating social distancing applied to differing age groups. Our modeling confirmed that suppression of SARS-CoV-2 transmission is possible with plausible levels of social distancing over a period of months, consistent with observed trends. Notably, our modeling did not support achieving herd immunity as a practical objective, requiring an unlikely balancing of multiple poorly defined forces. Specifically, we found that 1) social distancing must initially reduce the transmission rate to within a narrow range, 2) to compensate for susceptible depletion, the extent of social distancing must be adaptive over time in a precise yet unfeasible way, and 3) social distancing must be maintained for an extended period to ensure the healthcare system is not overwhelmed.
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Affiliation(s)
- Tobias S Brett
- Odum School of Ecology, University of Georgia, Athens, GA, 30602;
- Center for the Ecology of Infectious Diseases, University of Georgia, Athens, GA, 30602
| | - Pejman Rohani
- Odum School of Ecology, University of Georgia, Athens, GA, 30602
- Center for the Ecology of Infectious Diseases, University of Georgia, Athens, GA, 30602
- Department of Infectious Diseases, University of Georgia, Athens, GA, 30602
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