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Roy S, Biswas P, Ghosh P. Quantifying Mobility and Mixing Propensity in the Spatiotemporal Context of a Pandemic Spread. IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTATIONAL INTELLIGENCE 2021; 5:321-331. [PMID: 36694698 PMCID: PMC8545005 DOI: 10.1109/tetci.2021.3059007] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2020] [Revised: 01/30/2021] [Accepted: 02/08/2021] [Indexed: 01/27/2023]
Abstract
COVID-19 is the most acute global public health crisis of this century. Current trends in the global infected and death numbers suggest that human mobility leading to high social mixing are key players in infection spread, making it imperative to incorporate the spatiotemporal and mobility contexts to future prediction models. In this work, we present a generalized spatiotemporal model that quantifies the role of human social mixing propensity and mobility in pandemic spread through a composite latent factor. The proposed model calculates the exposed population count by utilizing a nonlinear least-squares optimization that exploits the intrinsic linearity in SEIR (Susceptible, Exposed, Infectious, or Recovered). We also present inverse coefficient of variation of the daily exposed curve as a measure for infection duration and spread. We carry out experiments on the mobility and COVID-19 infected and death curves of New York City to show that boroughs with high inter-zone mobility indeed exhibit synchronicity in peaks of the daily exposed curve as well as similar social mixing patterns. Furthermore, we demonstrate that several nations with high inverse coefficient of variations in daily exposed numbers are amongst the worst COVID-19 affected places. Our insights on the effects of lockdown on human mobility motivate future research in the identification of hotspots, design of intelligent mobility strategies and quarantine procedures to curb infection spread.
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Affiliation(s)
- Satyaki Roy
- Department of GeneticsUniversity of North CarolinaChapel HillNorth Carolina27514-3916USA
| | - Preetom Biswas
- Department of Computer Science and EngineeringBangladesh University of Engineering and TechnologyDhakaBangladesh
| | - Preetam Ghosh
- Department of Computer ScienceVirginia Commonwealth UniversityRichmondVirginia23284USA
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152
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Salman AM, Ahmed I, Mohd MH, Jamiluddin MS, Dheyab MA. Scenario analysis of COVID-19 transmission dynamics in Malaysia with the possibility of reinfection and limited medical resources scenarios. Comput Biol Med 2021; 133:104372. [PMID: 33864970 PMCID: PMC8024227 DOI: 10.1016/j.compbiomed.2021.104372] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2021] [Revised: 03/30/2021] [Accepted: 03/30/2021] [Indexed: 12/11/2022]
Abstract
COVID-19 is a major health threat across the globe, which causes severe acute respiratory syndrome (SARS), and it is highly contagious with significant mortality. In this study, we conduct a scenario analysis for COVID-19 in Malaysia using a simple universality class of the SIR system and extensions thereof (i.e., the inclusion of temporary immunity through the reinfection problems and limited medical resources scenarios leads to the SIRS-type model). This system has been employed in order to provide further insights on the long-term outcomes of COVID-19 pandemic. As a case study, the COVID-19 transmission dynamics are investigated using daily confirmed cases in Malaysia, where some of the epidemiological parameters of this system are estimated based on the fitting of the model to real COVID-19 data released by the Ministry of Health Malaysia (MOH). We observe that this model is able to mimic the trend of infection trajectories of COVID-19 pandemic in Malaysia and it is possible for transmission dynamics to be influenced by the reinfection force and limited medical resources problems. A rebound effect in transmission could occur after several years and this situation depends on the intensity of reinfection force. Our analysis also depicts the existence of a critical value in reinfection threshold beyond which the infection dynamics persist and the COVID-19 outbreaks are rather hard to eradicate. Therefore, understanding the interplay between distinct epidemiological factors using mathematical modelling approaches could help to support authorities in making informed decisions so as to control the spread of this pandemic effectively.
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Affiliation(s)
- Amer M Salman
- School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
| | - Issam Ahmed
- School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
| | - Mohd Hafiz Mohd
- School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia.
| | | | - Mohammed Ali Dheyab
- Nano-Optoelectronics Research and Technology Lab (NORLab), School of Physics, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
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153
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Kavitha C, Gowrisankar A, Banerjee S. The second and third waves in India: when will the pandemic be culminated? EUROPEAN PHYSICAL JOURNAL PLUS 2021; 136:596. [PMID: 34094795 PMCID: PMC8163365 DOI: 10.1140/epjp/s13360-021-01586-7] [Citation(s) in RCA: 43] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/2021] [Accepted: 05/18/2021] [Indexed: 05/03/2023]
Abstract
An unprecedented upsurge of COVID-19-positive cases and deaths is currently being witnessed across India. According to WHO, India reported an average of 3.9 lakhs of new cases during the first week of May 2021 which equals 47% of new cases reported globally and 276 daily cases per million population. In this letter, the concept of SIR and fractal interpolation models is applied to predict the number of positive cases in India by approximating the epidemic curve, where the epidemic curve denotes the two-dimensional graphical representation of COVID-19-positive cases in which the abscissa denotes the time, while the ordinate provides the number of positive cases. In order to estimate the epidemic curve, the fractal interpolation method is implemented on the prescribed data set. In particular, the vertical scaling factors of the fractal function are selected from the SIR model. The proposed fractal and SIR model can also be explored for the assessment and modeling of other epidemics to predict the transmission rate. This letter investigates the duration of the second and third waves in India, since the positive cases and death cases of COVID-19 in India have been highly increasing for the past few weeks, and India is in a midst of a catastrophizing second wave. The nation is recording more than 120 million cases of COVID-19, but pandemics are still concentrated in most states. In order to predict the forthcoming trend of the outbreaks, this study implements the SIR and fractal models on daily positive cases of COVID-19 in India and its provinces, namely Delhi, Karnataka, Tamil Nadu, Kerala and Maharashtra.
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Affiliation(s)
- C. Kavitha
- Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu India
| | - A. Gowrisankar
- Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu India
| | - Santo Banerjee
- Department of Mathematical Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
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154
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Proverbio D, Kemp F, Magni S, Husch A, Aalto A, Mombaerts L, Skupin A, Gonçalves J, Ameijeiras-Alonso J, Ley C. Dynamical SPQEIR model assesses the effectiveness of non-pharmaceutical interventions against COVID-19 epidemic outbreaks. PLoS One 2021; 16:e0252019. [PMID: 34019589 PMCID: PMC8139462 DOI: 10.1371/journal.pone.0252019] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/27/2020] [Accepted: 05/10/2021] [Indexed: 11/18/2022] Open
Abstract
Against the current COVID-19 pandemic, governments worldwide have devised a variety of non-pharmaceutical interventions to mitigate it. However, it is generally difficult to estimate the joint impact of different control strategies. In this paper, we tackle this question with an extended epidemic SEIR model, informed by a socio-political classification of different interventions. First, we inquire the conceptual effect of mitigation parameters on the infection curve. Then, we illustrate the potential of our model to reproduce and explain empirical data from a number of countries, to perform cross-country comparisons. This gives information on the best synergies of interventions to control epidemic outbreaks while minimising impact on socio-economic needs. For instance, our results suggest that, while rapid and strong lockdown is an effective pandemic mitigation measure, a combination of social distancing and early contact tracing can achieve similar mitigation synergistically, while keeping lower isolation rates. This quantitative understanding can support the establishment of mid- and long-term interventions, to prepare containment strategies against further outbreaks. This paper also provides an online tool that allows researchers and decision makers to interactively simulate diverse scenarios with our model.
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Affiliation(s)
- Daniele Proverbio
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Françoise Kemp
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Stefano Magni
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Andreas Husch
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Atte Aalto
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Laurent Mombaerts
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Alexander Skupin
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | - Jorge Gonçalves
- Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg
| | | | - Christophe Ley
- Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Ghent, Belgium
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155
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Xenikos D, Asimakopoulos A. Power-law growth of the COVID-19 fatality incidents in Europe. Infect Dis Model 2021; 6:743-750. [PMID: 34028469 PMCID: PMC8132555 DOI: 10.1016/j.idm.2021.05.001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2020] [Revised: 04/30/2021] [Accepted: 05/11/2021] [Indexed: 11/06/2022] Open
Abstract
We report on the dynamic scaling of the diffusion growth phase of the COVID-19 epidemic in Europe. During this initial diffusion stage, the European countries implemented unprecedented mitigation polices to delay and suppress the disease contagion, although not in a uniform way or timing. Despite this diversity, we find that the reported fatality cases grow following a power law in all European countries we studied. The difference among countries is the value of the power-law exponent 3.5 < α < 8.0. This common attribute can prove a practical diagnostic tool, allowing reasonable predictions for the growth rate from very early data at a country level. We propose a model for the disease-causing interactions, based on a mechanism of human decisions and risk taking in interpersonal associations. The model describes the observed statistical distribution and contributes to the discussion on basic assumptions for homogeneous mixing or for a network perspective in epidemiological studies of COVID-19.
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Affiliation(s)
- D.G. Xenikos
- School of Appl. Mathem. & Physical Sciences, National Technical Univ. of Athens, 15780, Athens, Greece
| | - A. Asimakopoulos
- Hellenic Telecommunications Organization SA, 19002, Paiania, Greece
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156
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Nesteruk I. Visible and Real Sizes of New COVID-19 Pandemic Waves in Ukraine. INNOVATIVE BIOSYSTEMS AND BIOENGINEERING 2021. [DOI: 10.20535/ibb.2021.5.2.230487] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/31/2022] Open
Abstract
Background. To simulate the COVID-19 pandemic dynamics, various data sets and different mathematical models can be used. In particular, previous simulations for Ukraine were based on smoothing of the dependence of the number of cases on time, classical and the generalized SIR (susceptible-infected-removed) models. Different simulation and comparison methods were based on official accumulated number of laboratory confirmed cases and the data reported by Johns Hopkins University. Since both datasets are incomplete (a very large percentage of infected persons are asymptomatic), the accuracy of calculations and predictions is limited. In this paper we will try to assess the degree of data incompleteness and correct the relevant forecasts.
Objective. We aimed to estimate the real sizes of two new epidemic waves in Ukraine and compare them with visible dynamics based on the official number of laboratory confirmed cases. We also aimed to estimate the epidemic durations and final numbers of cases.
Methods. In this study we use the generalized SIR model for the epidemic dynamics and its known exact solution. The known statistical approach is adopted in order to identify both the degree of data incompleteness and parameters of SIR model.
Results. We have improved the method of estimating the unknown parameters of the generalized SIR model and calculated the optimal values of the parameters. In particular, the visibility coefficients and the optimal values of the model parameters were estimated for two pandemic waves in Ukraine occurred in December 2020–March 2021. The real number of cases and the real number of patients spreading the infection versus time were calculated. Predictions of the real final sizes and durations of the pandemic in Ukraine are presented. If current trends continue, the end of the pandemic should be expected no earlier than in August 2022.
Conclusions. New method of the unknown parameters identification for the generalized SIR model was proposed, which allows estimating the coefficients of data incompleteness as well. Its application for two pandemic waves in Ukraine has demonstrated that the real number of COVID-19 cases is approximately four times higher than those shown in official statistics. Probably, this situation is typical for other countries. The reassessments of the COVID-19 pandemic dynamics in other countries and clarification of world forecasts are necessary.
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157
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Balkrishna A, Raj P, Singh P, Varshney A. Influence of Patient-Reported Treatment Satisfaction on Psychological Health and Quality of Life Among Patients Receiving Divya-Swasari-Coronil-Kit Against COVID-19: Findings from a Cross-Sectional "SATISFACTION COVID" Survey. Patient Prefer Adherence 2021; 15:899-909. [PMID: 33958858 PMCID: PMC8096451 DOI: 10.2147/ppa.s302957] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/20/2021] [Accepted: 03/25/2021] [Indexed: 01/15/2023] Open
Abstract
INTRODUCTION The correlation among treatment satisfaction with demographic characteristics, health symptoms or psychological health, and quality of life with the prophylactic regime against COVID-19 is rather unexplored. This real-world exploratory study was conducted to determine patient-perspectives regarding their treatment satisfaction receiving Divya-Swasari-Coronil-Kit with correlative impacts on psychological health (PH) and Quality of life (QoL) based on four hypotheses each relating to PH, QoL, Demographic characteristics, and Treatment satisfaction. METHODS This cross-sectional, web-based survey collected data on demographic characteristics and psychological health with DASS-21; QoL with 5-level 5-dimension EuroQol instrument; and treatment satisfaction using Treatment Satisfaction Questionnaire for Medication (TSQM) V9. Pearson correlation coefficient analysis was used to examine the relation between TSQM and PH and the demographic variables. Factor analysis was used for multi-collinearity tests, and multiple linear regression analysis was used to explore demographic variables and TSQM. RESULTS Out of 421 initial screenings, 367 patient-participants were included in the analysis. The mean age of included participants was 33.61 ± 9.47 years. Marital status and socio-economic class positively correlated with TSQM. Physical symptoms in patients are positively correlated with depression, anxiety, and stress; and in contrast, negatively with QoL. Global satisfaction with Divya-Swasari-Coronil-Kit medication negatively correlated with depression, anxiety, stress, effectiveness, convenience; whereas global satisfaction correlated positively with QoL. CONCLUSION Present study (SATISFACTION COVID) indicates that treatment satisfaction due to avaliablity and treatment of Divya-Swasari-Coronil-Kit has constructive and beneficial implications on psychological health, Quality of life and demographic factors. In addition, web-based patient-reported perspectives may well be a feasible way to provide better insights into treatment satisfaction, in relation to psychological health and Quality of life.
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Affiliation(s)
- Acharya Balkrishna
- Patanjali Research Foundation Trust, Patanjali Yogpeeth, Haridwar, Uttarakhand, 249 405, India
- Department of Allied and Applied Sciences, University of Patanjali, Haridwar, Uttarakhand, 249 405, India
| | - Preeti Raj
- Clinical Research Division, Patanjali Research Institute, Haridwar, Uttarakhand, 249 405, India
| | - Pratima Singh
- Clinical Research Division, Patanjali Research Institute, Haridwar, Uttarakhand, 249 405, India
| | - Anurag Varshney
- Patanjali Research Foundation Trust, Patanjali Yogpeeth, Haridwar, Uttarakhand, 249 405, India
- Department of Allied and Applied Sciences, University of Patanjali, Haridwar, Uttarakhand, 249 405, India
- Clinical Research Division, Patanjali Research Institute, Haridwar, Uttarakhand, 249 405, India
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158
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Barría-Sandoval C, Ferreira G, Benz-Parra K, López-Flores P. Prediction of confirmed cases of and deaths caused by COVID-19 in Chile through time series techniques: A comparative study. PLoS One 2021; 16:e0245414. [PMID: 33914758 PMCID: PMC8084230 DOI: 10.1371/journal.pone.0245414] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/05/2021] [Accepted: 04/07/2021] [Indexed: 11/19/2022] Open
Abstract
BACKGROUND Chile has become one of the countries most affected by COVID-19, a pandemic that has generated a large number of cases worldwide. If not detected and treated in time, COVID-19 can cause multi-organ failure and even death. Therefore, it is necessary to understand the behavior of the spread of COVID-19 as well as the projection of infections and deaths. This information is very relevant so that public health organizations can distribute financial resources efficiently and take appropriate containment measures. In this research, we compare different time series methodologies to predict the number of confirmed cases of and deaths from COVID-19 in Chile. METHODS The methodology used in this research consisted of modeling cases of both confirmed diagnoses and deaths from COVID-19 in Chile using Autoregressive Integrated Moving Average (ARIMA henceforth) models, Exponential Smoothing techniques, and Poisson models for time-dependent count data. Additionally, we evaluated the accuracy of the predictions using a training set and a test set. RESULTS The dataset used in this research indicated that the most appropriate model is the ARIMA time series model for predicting the number of confirmed COVID-19 cases, whereas for predicting the number of deaths from COVID-19 in Chile, the most suitable approach is the damped trend method. CONCLUSION The ARIMA models are an alternative to modeling the behavior of the spread of COVID-19; however, depending on the characteristics of the dataset, other methodologies can better predict the behavior of these records, for example, the Holt-Winter method implemented with time-dependent count data.
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Affiliation(s)
- Claudia Barría-Sandoval
- Nursing School, Universidad de las Américas, Concepción, Chile
- Faculty of Nursing, Universidad de Concepción, Concepción, Chile
| | - Guillermo Ferreira
- Department of Statistics, Universidad de Concepción, Concepción, Chile
- ANID - Millennium Science Initiative Program - Millennium Nucleus Center for the Discovery of Structures in Complex Data, Santiago, Chile
| | | | - Pablo López-Flores
- Department of Primary Health Care, Servicio de Salud de Concepción, Concepcion, Chile
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159
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Tang F, Feng Y, Chiheb H, Fan J. The Interplay of Demographic Variables and Social Distancing Scores in Deep Prediction of U.S. COVID-19 Cases. J Am Stat Assoc 2021. [DOI: 10.1080/01621459.2021.1901717] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Francesca Tang
- Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ
| | - Yang Feng
- Department of Biostatistics, New York University, New York City, NY
| | | | - Jianqing Fan
- Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ
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160
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Tovissodé CF, Doumatè JT, Glèlè Kakaï R. A Hybrid Modeling Technique of Epidemic Outbreaks with Application to COVID-19 Dynamics in West Africa. BIOLOGY 2021; 10:365. [PMID: 33922834 PMCID: PMC8145912 DOI: 10.3390/biology10050365] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/18/2021] [Revised: 04/09/2021] [Accepted: 04/20/2021] [Indexed: 12/23/2022]
Abstract
The widely used logistic model for epidemic case reporting data may be either restrictive or unrealistic in presence of containment measures when implemented after an epidemic outbreak. For flexibility in epidemic case reporting data modeling, we combined an exponential growth curve for the early epidemic phase with a flexible growth curve to account for the potential change in growth pattern after implementation of containment measures. We also fitted logistic regression models to recoveries and deaths from the confirmed positive cases. In addition, the growth curves were integrated into a SIQR (Susceptible, Infective, Quarantined, Recovered) model framework to provide an overview on the modeled epidemic wave. We focused on the estimation of: (1) the delay between the appearance of the first infectious case in the population and the outbreak ("epidemic latency period"); (2) the duration of the exponential growth phase; (3) the basic and the time-varying reproduction numbers; and (4) the peaks (time and size) in confirmed positive cases, active cases and new infections. The application of this approach to COVID-19 data from West Africa allowed discussion on the effectiveness of some containment measures implemented across the region.
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Affiliation(s)
- Chénangnon Frédéric Tovissodé
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, Abomey-Calavi, Benin; (C.F.T.); (J.T.D.)
| | - Jonas Têlé Doumatè
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, Abomey-Calavi, Benin; (C.F.T.); (J.T.D.)
- Faculté des Sciences et Techniques, Université d’Abomey-Calavi, Abomey-Calavi, Benin
| | - Romain Glèlè Kakaï
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, Abomey-Calavi, Benin; (C.F.T.); (J.T.D.)
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161
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Abstract
Mathematical models of the spread of epidemic diseases are studied, paying special attention to networks. We treat the Susceptible-Infected-Recovered (SIR) model and the Susceptible-Exposed-Infectious-Recovered (SEIR) model described by differential equations. We perform microscopic numerical simulations for corresponding epidemic models on networks. Comparing a random network and a scale-free network for the spread of the infection, we emphasize the role of hubs in a scale-free network. We also present a simple derivation of the exact solution of the SIR model.
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162
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Abstract
Background: The main purpose of this research is to describe the mathematical asymmetric patterns of susceptible, infectious, or recovered (SIR) model equation application in the light of coronavirus disease 2019 (COVID-19) skewness patterns worldwide. Methods: The research modeled severe acute respiratory syndrome coronavirus 2 (SARS-COV-2) spreading and dissemination patterns sensitivity by redesigning time series data extraction of daily new cases in terms of deviation consistency concerning variables that sustain COVID-19 transmission. The approach opened a new scenario where seasonality forcing behavior was introduced to understand SARS-COV-2 non-linear dynamics due to heterogeneity and confounding epidemics scenarios. Results: The main research results are the elucidation of three birth- and death-forced seasonality persistence phases that can explain COVID-19 skew patterns worldwide. They are presented in the following order: (1) the environmental variables (Earth seasons and atmospheric conditions); (2) health policies and adult learning education (HPALE) interventions; (3) urban spaces (local indoor and outdoor spaces for transit and social-cultural interactions, public or private, with natural physical features (river, lake, terrain). Conclusions: Three forced seasonality phases (positive to negative skew) phases were pointed out as a theoretical framework to explain uncertainty found in the predictive SIR model equations that might diverge in outcomes expected to express the disease’s behaviour.
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163
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Li M, Zhang Z, Cao W, Liu Y, Du B, Chen C, Liu Q, Uddin MN, Jiang S, Chen C, Zhang Y, Wang X. Identifying novel factors associated with COVID-19 transmission and fatality using the machine learning approach. THE SCIENCE OF THE TOTAL ENVIRONMENT 2021; 764:142810. [PMID: 33097268 PMCID: PMC7550892 DOI: 10.1016/j.scitotenv.2020.142810] [Citation(s) in RCA: 55] [Impact Index Per Article: 13.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/16/2020] [Revised: 09/30/2020] [Accepted: 09/30/2020] [Indexed: 05/07/2023]
Abstract
The COVID-19 virus has infected more than 38 million people and resulted in more than one million deaths worldwide as of October 14, 2020. By using the logistic regression model, we identified novel critical factors associated with COVID19 cases, death, and case fatality rates in 154 countries and in the 50 U.S. states. Among numerous factors associated with COVID-19 risk, economic inequality enhanced the risk of COVID-19 transmission. The per capita hospital beds correlated negatively with COVID-19 deaths. Blood types B and AB were protective factors for COVID-19 risk, while blood type A was a risk factor. The prevalence of HIV and influenza and pneumonia was associated with reduced COVID-19 risk. Increased intake of vegetables, edible oil, protein, vitamin D, and vitamin K was associated with reduced COVID-19 risk, while increased intake of alcohol was associated with increased COVID-19 risk. Other factors included age, sex, temperature, humidity, social distancing, smoking, health investment, urbanization level, and race. High temperature is a more compelling factor mitigating COVID-19 transmission than low temperature. Our comprehensive identification of the factors affecting COVID-19 transmission and fatality may provide new insights into the COVID-19 pandemic and advise effective strategies for preventing and migrating COVID-19 spread.
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Affiliation(s)
- Mengyuan Li
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Zhilan Zhang
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Wenxiu Cao
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Yijing Liu
- School of Life Science and Technology, China Pharmaceutical University, Nanjing 211198, China
| | - Beibei Du
- School of Life Science and Technology, China Pharmaceutical University, Nanjing 211198, China
| | - Canping Chen
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Qian Liu
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Md Nazim Uddin
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Shanmei Jiang
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China
| | - Cai Chen
- Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA 92093, USA
| | - Yue Zhang
- Futian Hospital for Rheumatic Diseases, Shenzhen 518000, China; Pinghu Hospital of Shenzhen University, Shenzhen 440307, China; Department of Rheumatology and Immunology, The First Clinical College of Harbin Medical University, Harbin 150001, China
| | - Xiaosheng Wang
- Biomedical Informatics Research Lab, School of Basic Medicine and Clinical Pharmacy, China Pharmaceutical University, Nanjing 211198, China; Big Data Research Institute, China Pharmaceutical University, Nanjing 211198, China.
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164
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Nonpharmaceutical interventions contribute to the control of COVID-19 in China based on a pairwise model. Infect Dis Model 2021; 6:643-663. [PMID: 33869909 PMCID: PMC8035808 DOI: 10.1016/j.idm.2021.04.001] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2021] [Revised: 04/01/2021] [Accepted: 04/02/2021] [Indexed: 12/20/2022] Open
Abstract
Nonpharmaceutical interventions (NPIs), particularly contact tracing isolation and household quarantine, play a vital role in effectively bringing the Coronavirus Disease 2019 (COVID-19) under control in China. The pairwise model, has an inherent advantage in characterizing those two NPIs than the classical well-mixed models. Therefore, in this paper, we devised a pairwise epidemic model with NPIs to analyze COVID-19 outbreak in China by using confirmed cases during February 3rd–22nd, 2020. By explicitly incorporating contact tracing isolation and family clusters caused by household quarantine, our model provided a good fit to the trajectory of COVID-19 infections. We calculated the reproduction number R = 1.345 (95% CI: 1.230 − 1.460) for Hubei province and R = 1.217 (95% CI: 1.207 − 1.227) for China (except Hubei). We also estimated the peak time of infections, the epidemic duration and the final size, which are basically consistent with real observation. We indicated by simulation that the traced high-risk contacts from incubated to susceptible decrease under NPIs, regardless of infected cases. The sensitivity analysis showed that reducing the exposure of the susceptible and increasing the clustering coefficient bolster COVID-19 control. With the enforcement of household quarantine, the reproduction number R and the epidemic prevalence declined effectively. Furthermore, we obtained the resumption time of work and production in China (except Hubei) on 10th March and in Hubei at the end of April 2020, respectively, which is broadly in line with the actual time. Our results may provide some potential lessons from China on the control of COVID-19 for other parts of the world.
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165
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Hespanha JP, Chinchilla R, Costa RR, Erdal MK, Yang G. Forecasting COVID-19 cases based on a parameter-varying stochastic SIR model. ANNUAL REVIEWS IN CONTROL 2021; 51:460-476. [PMID: 33850441 PMCID: PMC8030732 DOI: 10.1016/j.arcontrol.2021.03.008] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/30/2020] [Revised: 02/22/2021] [Accepted: 03/25/2021] [Indexed: 05/13/2023]
Abstract
We address the prediction of the number of new cases and deaths for the coronavirus disease 2019 (COVID-19) over a future horizon from historical data (forecasting). We use a model-based approach based on a stochastic Susceptible-Infections-Removed (SIR) model with time-varying parameters, which captures the evolution of the disease dynamics in response to changes in social behavior, non-pharmaceutical interventions, and testing rates. We show that, in the presence of asymptomatic cases, such model includes internal parameters and states that cannot be uniquely identified solely on the basis of measurements of new cases and deaths, but this does not preclude the construction of reliable forecasts for future values of these measurements. Such forecasts and associated confidence intervals can be computed using an iterative algorithm based on nonlinear optimization solvers, without the need for Monte Carlo sampling. Our results have been validated on an extensive COVID-19 dataset covering the period from March through December 2020 on 144 regions around the globe.
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166
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Shapiro MB, Karim F, Muscioni G, Augustine AS. Adaptive Susceptible-Infectious-Removed Model for Continuous Estimation of the COVID-19 Infection Rate and Reproduction Number in the United States: Modeling Study. J Med Internet Res 2021; 23:e24389. [PMID: 33755577 PMCID: PMC8030656 DOI: 10.2196/24389] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2020] [Revised: 03/21/2021] [Accepted: 03/21/2021] [Indexed: 01/06/2023] Open
Abstract
BACKGROUND The dynamics of the COVID-19 pandemic vary owing to local population density and policy measures. During decision-making, policymakers consider an estimate of the effective reproduction number Rt, which is the expected number of secondary infections spread by a single infected individual. OBJECTIVE We propose a simple method for estimating the time-varying infection rate and the Rt. METHODS We used a sliding window approach with a Susceptible-Infectious-Removed (SIR) model. We estimated the infection rate from the reported cases over a 7-day window to obtain a continuous estimation of Rt. A proposed adaptive SIR (aSIR) model was applied to analyze the data at the state and county levels. RESULTS The aSIR model showed an excellent fit for the number of reported COVID-19 cases, and the 1-day forecast mean absolute prediction error was <2.6% across all states. However, the 7-day forecast mean absolute prediction error approached 16.2% and strongly overestimated the number of cases when the Rt was rapidly decreasing. The maximal Rt displayed a wide range of 2.0 to 4.5 across all states, with the highest values for New York (4.4) and Michigan (4.5). We found that the aSIR model can rapidly adapt to an increase in the number of tests and an associated increase in the reported cases of infection. Our results also suggest that intensive testing may be an effective method of reducing Rt. CONCLUSIONS The aSIR model provides a simple and accurate computational tool for continuous Rt estimation and evaluation of the efficacy of mitigation measures.
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Affiliation(s)
| | - Fazle Karim
- Anthem, Inc, Indianapolis, IN, United States
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167
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Shah V, Shelke A, Parab M, Shah J, Mehendale N. A statistical and deep learning-based daily infected count prediction system for the coronavirus pandemic. EVOLUTIONARY INTELLIGENCE 2021; 15:1947-1957. [PMID: 33841583 PMCID: PMC8019340 DOI: 10.1007/s12065-021-00600-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/27/2020] [Revised: 01/23/2021] [Accepted: 03/25/2021] [Indexed: 11/17/2022]
Abstract
We present new data analytics-based predictions results that can help governments to plan their future actions and also help medical services to be better prepared for the future. Our system can predict new corona cases with 99.82% accuracy using susceptible infected recovered (SIR) model. We have predicted the results of new COVID cases per day for dense and highly populated country i.e. India. We found that traditional statistical methods will not work efficiently as they do not consider the limited population in a particular country. Using the data analytics-based curve we predicted four most likely possibilities for the number of new cases in India. Hence, we expect that the results mentioned in the manuscript help people to better understand the progress of this disease. Supplementary Information The online version contains supplementary material available at 10.1007/s12065-021-00600-2.
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Affiliation(s)
- Vruddhi Shah
- K. J. Somaiya College of Engineering, Mumbai, 400077 Maharashtra India
| | - Ankita Shelke
- K. J. Somaiya College of Engineering, Mumbai, 400077 Maharashtra India
| | - Mamata Parab
- K. J. Somaiya College of Engineering, Mumbai, 400077 Maharashtra India
| | - Jainam Shah
- K. J. Somaiya College of Engineering, Mumbai, 400077 Maharashtra India
| | - Ninad Mehendale
- K. J. Somaiya College of Engineering, Mumbai, 400077 Maharashtra India
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168
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Gros C, Valenti R, Schneider L, Gutsche B, Marković D. Predicting the cumulative medical load of COVID-19 outbreaks after the peak in daily fatalities. PLoS One 2021; 16:e0247272. [PMID: 33793551 PMCID: PMC8016333 DOI: 10.1371/journal.pone.0247272] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2020] [Accepted: 02/03/2021] [Indexed: 02/01/2023] Open
Abstract
The distinct ways the COVID-19 pandemic has been unfolding in different countries and regions suggest that local societal and governmental structures play an important role not only for the baseline infection rate, but also for short and long-term reactions to the outbreak. We propose to investigate the question of how societies as a whole, and governments in particular, modulate the dynamics of a novel epidemic using a generalization of the SIR model, the reactive SIR (short-term and long-term reaction) model. We posit that containment measures are equivalent to a feedback between the status of the outbreak and the reproduction factor. Short-term reaction to an outbreak corresponds in this framework to the reaction of governments and individuals to daily cases and fatalities. The reaction to the cumulative number of cases or deaths, and not to daily numbers, is captured in contrast by long-term reaction. We present the exact phase space solution of the controlled SIR model and use it to quantify containment policies for a large number of countries in terms of short and long-term control parameters. We find increased contributions of long-term control for countries and regions in which the outbreak was suppressed substantially together with a strong correlation between the strength of societal and governmental policies and the time needed to contain COVID-19 outbreaks. Furthermore, for numerous countries and regions we identified a predictive relation between the number of fatalities within a fixed period before and after the peak of daily fatality counts, which allows to gauge the cumulative medical load of COVID-19 outbreaks that should be expected after the peak. These results suggest that the proposed model is applicable not only for understanding the outbreak dynamics, but also for predicting future cases and fatalities once the effectiveness of outbreak suppression policies is established with sufficient certainty. Finally, we provide a web app (https://itp.uni-frankfurt.de/covid-19/) with tools for visualising the phase space representation of real-world COVID-19 data and for exporting the preprocessed data for further analysis.
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Affiliation(s)
- Claudius Gros
- Goethe University Frankfurt, Frankfurt a.M., Germany
| | - Roser Valenti
- Goethe University Frankfurt, Frankfurt a.M., Germany
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169
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Impact of a New SARS-CoV-2 Variant on the Population: A Mathematical Modeling Approach. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS 2021. [DOI: 10.3390/mca26020025] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Abstract
Several SARS-CoV-2 variants have emerged around the world, and the appearance of other variants depends on many factors. These new variants might have different characteristics that can affect the transmissibility and death rate. The administration of vaccines against the coronavirus disease 2019 (COVID-19) started in early December of 2020 and in some countries the vaccines will not soon be widely available. For this article, we studied the impact of a new more transmissible SARS-CoV-2 strain on prevalence, hospitalizations, and deaths related to the SARS-CoV-2 virus. We studied different scenarios regarding the transmissibility in order to provide a scientific support for public health policies and bring awareness of potential future situations related to the COVID-19 pandemic. We constructed a compartmental mathematical model based on differential equations to study these different scenarios. In this way, we are able to understand how a new, more infectious strain of the virus can impact the dynamics of the COVID-19 pandemic. We studied several metrics related to the possible outcomes of the COVID-19 pandemic in order to assess the impact of a higher transmissibility of a new SARS-CoV-2 strain on these metrics. We found that, even if the new variant has the same death rate, its high transmissibility can increase the number of infected people, those hospitalized, and deaths. The simulation results show that health institutions need to focus on increasing non-pharmaceutical interventions and the pace of vaccine inoculation since a new variant with higher transmissibility, such as, for example, VOC-202012/01 of lineage B.1.1.7, may cause more devastating outcomes in the population.
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170
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Chu J. A statistical analysis of the novel coronavirus (COVID-19) in Italy and Spain. PLoS One 2021; 16:e0249037. [PMID: 33765088 PMCID: PMC7993852 DOI: 10.1371/journal.pone.0249037] [Citation(s) in RCA: 27] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2020] [Accepted: 03/09/2021] [Indexed: 12/23/2022] Open
Abstract
The novel coronavirus (COVID-19) that was first reported at the end of 2019 has impacted almost every aspect of life as we know it. This paper focuses on the incidence of the disease in Italy and Spain-two of the first and most affected European countries. Using two simple mathematical epidemiological models-the Susceptible-Infectious-Recovered model and the log-linear regression model, we model the daily and cumulative incidence of COVID-19 in the two countries during the early stage of the outbreak, and compute estimates for basic measures of the infectiousness of the disease including the basic reproduction number, growth rate, and doubling time. Estimates of the basic reproduction number were found to be larger than 1 in both countries, with values being between 2 and 3 for Italy, and 2.5 and 4 for Spain. Estimates were also computed for the more dynamic effective reproduction number, which showed that since the first cases were confirmed in the respective countries the severity has generally been decreasing. The predictive ability of the log-linear regression model was found to give a better fit and simple estimates of the daily incidence for both countries were computed.
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Affiliation(s)
- Jeffrey Chu
- School of Statistics, Renmin University of China, Beijing, China
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171
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Koenen M, Balvert M, Brekelmans R, Fleuren H, Stienen V, Wagenaar J. Forecasting the spread of SARS-CoV-2 is inherently ambiguous given the current state of virus research. PLoS One 2021; 16:e0245519. [PMID: 33657128 PMCID: PMC7928451 DOI: 10.1371/journal.pone.0245519] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2020] [Accepted: 01/01/2021] [Indexed: 01/10/2023] Open
Abstract
Since the onset of the COVID-19 pandemic many researchers and health advisory institutions have focused on virus spread prediction through epidemiological models. Such models rely on virus- and disease characteristics of which most are uncertain or even unknown for SARS-CoV-2. This study addresses the validity of various assumptions using an epidemiological simulation model. The contributions of this work are twofold. First, we show that multiple scenarios all lead to realistic numbers of deaths and ICU admissions, two observable and verifiable metrics. Second, we test the sensitivity of estimates for the number of infected and immune individuals, and show that these vary strongly between scenarios. Note that the amount of variation measured in this study is merely a lower bound: epidemiological modeling contains uncertainty on more parameters than the four in this study, and including those as well would lead to an even larger set of possible scenarios. As the level of infection and immunity among the population are particularly important for policy makers, further research on virus and disease progression characteristics is essential. Until that time, epidemiological modeling studies cannot give conclusive results and should come with a careful analysis of several scenarios on virus- and disease characteristics.
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Affiliation(s)
- Melissa Koenen
- Zero Hunger Lab, Department of Econometrics and Operations Research, Tilburg School of Economics and Management, Tilburg University, Tilburg, The Netherlands
| | - Marleen Balvert
- Zero Hunger Lab, Department of Econometrics and Operations Research, Tilburg School of Economics and Management, Tilburg University, Tilburg, The Netherlands
| | - Ruud Brekelmans
- Zero Hunger Lab, Department of Econometrics and Operations Research, Tilburg School of Economics and Management, Tilburg University, Tilburg, The Netherlands
| | - Hein Fleuren
- Zero Hunger Lab, Department of Econometrics and Operations Research, Tilburg School of Economics and Management, Tilburg University, Tilburg, The Netherlands
| | - Valentijn Stienen
- Zero Hunger Lab, Department of Econometrics and Operations Research, Tilburg School of Economics and Management, Tilburg University, Tilburg, The Netherlands
| | - Joris Wagenaar
- Zero Hunger Lab, Department of Econometrics and Operations Research, Tilburg School of Economics and Management, Tilburg University, Tilburg, The Netherlands
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172
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Nudi R, Campagna M, Parma A, Nudi A, Biondi Zoccai G. Breakthrough healthcare technologies in the COVID-19 era: a unique opportunity for cardiovascular practitioners and patients. Panminerva Med 2021; 63:62-74. [PMID: 33165308 DOI: 10.23736/s0031-0808.20.04188-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Abstract
INTRODUCTION The Coronavirus disease 2019 (COVID-19) pandemic, caused by symptomatic severe acute respiratory syndrome-Coronavirus-2 (SARS-CoV-2) infection, has wreaked havoc globally, challenging the healthcare, economical, technological and social status quo of developing but also developed countries. For instance, the COVID-19 scare has reduced timely hospital admissions for ST-elevation myocardial infarction in Europe and the USA, causing unnecessary deaths and disabilities. While the emergency is still ongoing, enough efforts have been put to study and tackle this condition such that a comprehensive perspective and synthesis on the potential role of breakthrough healthcare technologies is possible. Indeed, current state-of-the-art information technologies can provide a unique opportunity to adapt and adjust to the current healthcare needs associated with COVID-19, either directly or indirectly, and in particular those of cardiovascular patients and practitioners. EVIDENCE ACQUISITION We searched several biomedical databases, websites and social media, including PubMed, Medscape, and Twitter, for smartcare approaches suitable for application in the COVID-19 pandemic. EVIDENCE SYNTHESIS We retrieved details on several promising avenues for present and future healthcare technologies, capable of substantially reduce the mortality, morbidity, and resource use burden of COVID-19 as well as that of cardiovascular disease. In particular, we have found data supporting the importance of data sharing, model sharing, preprint archiving, social media, medical case sharing, distance learning and continuous medical education, smartphone apps, telemedicine, robotics, big data analysis, machine learning, and deep learning, with the ultimate goal of optimization of individual prevention, diagnosis, tracing, risk-stratification, treatment and rehabilitation. CONCLUSIONS We are confident that refinement and command of smartcare technologies will prove extremely beneficial in the short-term, but also dramatically reshape cardiovascular practice and healthcare delivery in the long-term future, for COVID-19 as well as other diseases.
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Affiliation(s)
- Raffaele Nudi
- Service of Hybrid Cardio Imaging, Madonna della Fiducia Clinic, Rome, Italy
- Ostia Radiologica, Rome, Italy
| | | | | | | | - Giuseppe Biondi Zoccai
- Department of Medical-Surgical Sciences and Biotechnologies, Sapienza University, Latina, Rome, Italy -
- Mediterraneo Cardiocentro, Naples, Italy
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173
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Schimit PHT. A model based on cellular automata to estimate the social isolation impact on COVID-19 spreading in Brazil. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2021; 200:105832. [PMID: 33213971 PMCID: PMC7836885 DOI: 10.1016/j.cmpb.2020.105832] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2020] [Accepted: 11/04/2020] [Indexed: 05/11/2023]
Abstract
Background and objective Many countries around the world experienced a high increase in the number of COVID-19 cases after a few weeks of the first case, and along with it, excessive pressure on the healthcare systems. While medicines, drugs, and vaccines against the COVID-19 are being developed, social isolation has become the most used method for controlling the virus spreading. With the social isolation, authorities aimed to slow down the spreading, avoiding saturation of the healthcare system, and allowing that all critical COVID-19 cases could be appropriately treated. By tuning the proposed model to fit Brazil's initial COVID-19 data, the objectives of the paper are to analyze the impact of the social isolation features on the population dynamics; simulate the number of deaths due to COVID-19 and due to the lack of healthcare infrastructure; study combinations of the features for the healthcare system does not collapse; and analyze healthcare system responses for the crisis. Methods In this paper, a Susceptible-Exposed-Infected-Removed model is described in terms of probabilistic cellular automata and ordinary differential equations for the transmission of COVID-19, flexible enough for simulating different scenarios of social isolation according to the following features: the start day for the social isolation after the first death, the period for the social isolation campaign, and the percentage of the population committed to the campaign. Results Results showed that efforts in the social isolation campaign must be concentrated both on the isolation percentage and campaign duration to delay the healthcare system failure. For the hospital situation in Brazil at the beginning of the pandemic outbreak, a rate of 200 purchases per day of intensive care units and mechanical ventilators is the minimum rate to prevent the collapse of the healthcare system. Conclusions By using the model for different scenarios, it is possible to estimate the impact of social isolation campaign adhesion. For instance, if the social isolation percentage increased from 40% to 50% in Brazil, the purchase rate of 150 intensive care units and mechanical ventilators per day would be enough to prevent the healthcare system to collapse. Moreover, results showed that a premature relaxation of the social isolation campaign can lead to subsequent waves of contamination.
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Affiliation(s)
- P H T Schimit
- Informatics and Knowledge Management Graduate Program Universidade Nove de Julho Rua Vergueiro, 235/249 São Paulo, CEP: 05001-001, SP, Brazil.
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174
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Lymperopoulos IN. #stayhome to contain Covid-19: Neuro-SIR - Neurodynamical epidemic modeling of infection patterns in social networks. EXPERT SYSTEMS WITH APPLICATIONS 2021; 165:113970. [PMID: 32908331 PMCID: PMC7470771 DOI: 10.1016/j.eswa.2020.113970] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/24/2020] [Revised: 08/11/2020] [Accepted: 09/02/2020] [Indexed: 05/09/2023]
Abstract
An innovative neurodynamical model of epidemics in social networks - the Neuro-SIR - is introduced. Susceptible-Infected-Removed (SIR) epidemic processes are mechanistically modeled as analogous to the activity propagation in neuronal populations. The workings of infection transmission from individual to individual through a network of social contacts, is driven by the dynamics of the threshold mechanism of leaky integrate-and-fire neurons. Through this approach a dynamically evolving landscape of the susceptibility of a population to a disease is formed. In this context, epidemics with varying velocities and scales are triggered by a small fraction of infected individuals according to the configuration of various endogenous and exogenous factors representing the individuals' vulnerability, the infectiousness of a pathogen, the density of a contact network, and environmental conditions. Adjustments in the length of immunity (if any) after recovery, enable the modeling of the Susceptible-Infected-Recovered-Susceptible (SIRS) process of recurrent epidemics. Neuro-SIR by supporting an impressive level of heterogeneities in the description of a population, contagiousness of a disease, and external factors, allows a more insightful investigation of epidemic spreading in comparison with existing approaches. Through simulation experiments with Neuro-SIR, we demonstrate the effectiveness of the #stayhome strategy for containing Covid-19, and successfully validate the simulation results against the classical epidemiological theory. Neuro-SIR is applicable in designing and assessing prevention and control strategies for spreading diseases, as well as in predicting the evolution pattern of epidemics.
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Affiliation(s)
- Ilias N Lymperopoulos
- Department of Management Science and Technology, Athens University of Economics and Business, 47a Evelpidon Str., Athens, 11362, Greece
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175
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Moein S, Nickaeen N, Roointan A, Borhani N, Heidary Z, Javanmard SH, Ghaisari J, Gheisari Y. Inefficiency of SIR models in forecasting COVID-19 epidemic: a case study of Isfahan. Sci Rep 2021; 11:4725. [PMID: 33633275 PMCID: PMC7907339 DOI: 10.1038/s41598-021-84055-6] [Citation(s) in RCA: 62] [Impact Index Per Article: 15.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2020] [Accepted: 02/11/2021] [Indexed: 12/13/2022] Open
Abstract
The multifaceted destructions caused by COVID-19 have been compared to that of World War II. What makes the situation even more complicated is the ambiguity about the duration and ultimate spread of the pandemic. It is especially critical for the governments, healthcare systems, and economic sectors to have an estimate of the future of this disaster. By using different mathematical approaches, including the classical susceptible-infected-recovered (SIR) model and its derivatives, many investigators have tried to predict the outbreak of COVID-19. In this study, we simulated the epidemic in Isfahan province of Iran for the period from Feb 14th to April 11th and also forecasted the remaining course with three scenarios that differed in terms of the stringency level of social distancing. Despite the prediction of disease course in short-term intervals, the constructed SIR model was unable to forecast the actual spread and pattern of epidemic in the long term. Remarkably, most of the published SIR models developed to predict COVID-19 for other communities, suffered from the same inconformity. The SIR models are based on assumptions that seem not to be true in the case of the COVID-19 epidemic. Hence, more sophisticated modeling strategies and detailed knowledge of the biomedical and epidemiological aspects of the disease are needed to forecast the pandemic.
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Affiliation(s)
- Shiva Moein
- Regenerative Medicine Research Center, Isfahan University of Medical Sciences, Isfahan, 81746-73461, Iran
| | - Niloofar Nickaeen
- Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
| | - Amir Roointan
- Regenerative Medicine Research Center, Isfahan University of Medical Sciences, Isfahan, 81746-73461, Iran
| | - Niloofar Borhani
- Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
| | - Zarifeh Heidary
- Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran
| | - Shaghayegh Haghjooy Javanmard
- Department of Physiology, Applied Physiology Research Center, Isfahan Cardiovascular Research Institute, Isfahan University of Medical Sciences, Isfahan, Iran
| | - Jafar Ghaisari
- Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran.
| | - Yousof Gheisari
- Regenerative Medicine Research Center, Isfahan University of Medical Sciences, Isfahan, 81746-73461, Iran.
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176
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Congdon P. Mid-Epidemic Forecasts of COVID-19 Cases and Deaths: A Bivariate Model Applied to the UK. Interdiscip Perspect Infect Dis 2021; 2021:8847116. [PMID: 33628235 PMCID: PMC7881738 DOI: 10.1155/2021/8847116] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2020] [Revised: 12/18/2020] [Accepted: 01/23/2021] [Indexed: 11/24/2022] Open
Abstract
BACKGROUND The evolution of the COVID-19 epidemic has been accompanied by efforts to provide comparable international data on new cases and deaths. There is also accumulating evidence on the epidemiological parameters underlying COVID-19. Hence, there is potential for epidemic models providing mid-term forecasts of the epidemic trajectory using such information. The effectiveness of lockdown or lockdown relaxation can also be assessed by modelling later epidemic stages, possibly using a multiphase epidemic model. METHODS Commonly applied methods to analyse epidemic trajectories or make forecasts include phenomenological growth models (e.g., the Richards family of densities) and variants of the susceptible-infected-recovered (SIR) compartment model. Here, we focus on a practical forecasting approach, applied to interim UK COVID data, using a bivariate Reynolds model (for cases and deaths), with implementation based on Bayesian inference. We show the utility of informative priors in developing and estimating the model and compare error densities (Poisson-gamma, Poisson-lognormal, and Poisson-log-Student) for overdispersed data on new cases and deaths. We use cross validation to assess medium-term forecasts. We also consider the longer-term postlockdown epidemic profile to assess epidemic containment, using a two-phase model. RESULTS Fit to interim mid-epidemic data show better fit to training data and better cross-validation performance for a Poisson-log-Student model. Estimation of longer-term epidemic data after lockdown relaxation, characterised by protracted slow downturn and then upturn in cases, casts doubt on effective containment. CONCLUSIONS Many applications of phenomenological models have been to complete epidemics. However, evaluation of such models based simply on their fit to observed data may give only a partial picture, and cross validation against actual trends is also valuable. Similarly, it may be preferable to model incidence rather than cumulative data, although this raises questions about suitable error densities for modelling often erratic fluctuations. Hence, there may be utility in evaluating alternative error assumptions.
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Affiliation(s)
- Peter Congdon
- School of Geography, Queen Mary University of London, Mile End Road, London E1 4NS, UK
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177
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Kozyreff G. Hospitalization dynamics during the first COVID-19 pandemic wave: SIR modelling compared to Belgium, France, Italy, Switzerland and New York City data. Infect Dis Model 2021; 6:398-404. [PMID: 33558855 PMCID: PMC7857065 DOI: 10.1016/j.idm.2021.01.006] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2020] [Revised: 01/05/2021] [Accepted: 01/17/2021] [Indexed: 01/23/2023] Open
Abstract
Using the classical Susceptible-Infected-Recovered epidemiological model, an analytical formula is derived for the number of beds occupied by Covid-19 patients. The analytical curve is fitted to data in Belgium, France, New York City and Switzerland, with a correlation coefficient exceeding 98.8%, suggesting that finer models are unnecessary with such macroscopic data. The fitting is used to extract estimates of the doubling time in the ascending phase of the epidemic, the mean recovery time and, for those who require medical intervention, the mean hospitalization time. Large variations can be observed among different outbreaks.
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Affiliation(s)
- Gregory Kozyreff
- Optique Nonlinéaire Théorique, Université libre de Bruxelles (U.L.B.), CP 231, Belgium
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178
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Shang AC, Galow KE, Galow GG. Regional forecasting of COVID-19 caseload by non-parametric regression: a VAR epidemiological model. AIMS Public Health 2021; 8:124-136. [PMID: 33575412 PMCID: PMC7870378 DOI: 10.3934/publichealth.2021010] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2020] [Accepted: 01/28/2021] [Indexed: 11/18/2022] Open
Abstract
OBJECTIVES The COVID-19 pandemic (caused by SARS-CoV-2) has introduced significant challenges for accurate prediction of population morbidity and mortality by traditional variable-based methods of estimation. Challenges to modelling include inadequate viral physiology comprehension and fluctuating definitions of positivity between national-to-international data. This paper proposes that accurate forecasting of COVID-19 caseload may be best preformed non-parametrically, by vector autoregression (VAR) of verifiable data regionally. METHODS A non-linear VAR model across 7 major demographically representative New York City (NYC) metropolitan region counties was constructed using verifiable daily COVID-19 caseload data March 12-July 23, 2020. Through association of observed case trends with a series of (county-specific) data-driven dynamic interdependencies (lagged values), a systematically non-assumptive approximation of VAR representation for COVID-19 patterns to-date and prospective upcoming trends was produced. RESULTS Modified VAR regression of NYC area COVID-19 caseload trends proves highly significant modelling capacity of observed patterns in longitudinal disease incidence (county R2 range: 0.9221-0.9751, all p < 0.001). Predictively, VAR regression of daily caseload results at a county-wide level demonstrates considerable short-term forecasting fidelity (p < 0.001 at one-step ahead) with concurrent capacity for longer-term (tested 11-week period) inferences of consistent, reasonable upcoming patterns from latest (model data update) disease epidemiology. CONCLUSIONS In contrast to macroscopic variable-assumption projections, regionally-founded VAR modelling may substantially improve projection of short-term community disease burden, reduce potential for biostatistical error, as well as better model epidemiological effects resultant from intervention. Predictive VAR extrapolation of existing public health data at an interdependent regional scale may improve accuracy of current pandemic burden prognoses.
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Affiliation(s)
- Aaron C Shang
- University of Oxford Medical Sciences Division; Oxford OX3 9DU, UK
- Hackensack Meridian School of Medicine; Nutley, NJ 07110, USA
| | - Kristen E Galow
- Hackensack Meridian School of Medicine; Nutley, NJ 07110, USA
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179
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Modeling and optimal control analysis of transmission dynamics of COVID-19: The case of Ethiopia. ALEXANDRIA ENGINEERING JOURNAL 2021; 60. [PMCID: PMC7546205 DOI: 10.1016/j.aej.2020.10.004] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
A mathematical model to estimate transmission dynamics of COVID-19 is developed. A real data of confirmed cases for Ethiopia is used for parameter estimation via model fitting. Results showed that, the diseases free and endemic equilibrium points are found to be locally and globally asymptotically stable for Ro < 1 and Ro > 1 respectively. The basic reproduction number is Ro = 1.5085. Optimal control analysis also showed that, combination of optimal preventive strategies such as public health education, personal protective measures and treatment of hospitalized cases are effective to significantly decrease the number of COVID-19 cases in different compartments of the model.
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180
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Dynamics models for identifying the key transmission parameters of the COVID-19 disease. ALEXANDRIA ENGINEERING JOURNAL 2021; 60. [PMCID: PMC7552992 DOI: 10.1016/j.aej.2020.10.006] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/08/2023]
Abstract
After the analysis and forecast of COVID-19 spreading in China, Italy, and France the WHO has declared the COVID-19 a pandemic. There are around 100 research groups across the world trying to develop a vaccine for this coronavirus. Therefore, the quantitative and qualitative analysis of the COVID–19 pandemic is needed along with the effect of rapid test infection identification on controlling the spread of COVID-19. Mathematical models with computational simulations are the effective tools that help global efforts to estimate key transmission parameters and further improvements for controlling this disease. This is an infectious disease and can be modeled as a system of non-linear differential equations with reaction rates. In this paper, we develop the models for coronavirus disease at different stages with the addition of more parameters due to interactions among the individuals. Then, some key computational simulations and sensitivity analysis are investigated. Further, the local sensitivities for each model state concerning the model parameters are computed using the model reduction techniques: the dynamical models are eventually changed with the change of parameters are represented graphically.
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181
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Prediction of the peak Covid-19 pandemic in Indonesia using SIR model. JURNAL TEKNOLOGI DAN SISTEM KOMPUTER 2021. [DOI: 10.14710/jtsiskom.2020.13877] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
This research implements the Susceptible, Infected, and Removed (SIR) model to predict the Covid-19 outbreak in Indonesia. The government official data, consisting of infected, dead, and recovered, are used as actual data to interpolate the model through matching data with minimum mean squared error (MSE). The study uses one of the Quasi-Newton search methods, the Broyden, Fletcher, Goldfarb, and Shanno (BFGS) algorithm, to determine the interaction coefficient's optimal value in the model with the minimum MSE value. Based on data as of July 18, 2020, it predicts that the peak of the infected number will be in October 2020 with around 14 % of the total population infected, and the MSE of 18.42 is relative to the period of the actual data. Meanwhile, the basic reproduction rate is calculated to be 2.035 from the model, where it is underestimated about 29 % compared to the relative basic reproduction rate from the provided actual data.
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182
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Fiacchini M, Alamir M. The Ockham's razor applied to COVID-19 model fitting French data. ANNUAL REVIEWS IN CONTROL 2021; 51:500-510. [PMID: 33551664 PMCID: PMC7846253 DOI: 10.1016/j.arcontrol.2021.01.002] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2020] [Revised: 09/18/2020] [Accepted: 01/10/2021] [Indexed: 05/31/2023]
Abstract
This paper presents a data-based simple model for fitting the available data of the Covid-19 pandemic evolution in France. The time series concerning the 13 regions of mainland France have been considered for fitting and validating the model. An extremely simple, two-dimensional model with only two parameters demonstrated to be able to reproduce the time series concerning the number of daily demises caused by Covid-19, the hospitalizations, intensive care and emergency accesses, the daily number of positive tests and other indicators, for the different French regions. These results might contribute to stimulate a debate on the suitability of much more complex models for reproducing and forecasting the pandemic evolution since, although relevant from a mechanistic point of view, they could lead to nonidentifiability issues.
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Affiliation(s)
- Mirko Fiacchini
- Univ. Grenoble Alpes, CNRS, Grenoble INP, GIPSA-lab, 38000 Grenoble, France
| | - Mazen Alamir
- Univ. Grenoble Alpes, CNRS, Grenoble INP, GIPSA-lab, 38000 Grenoble, France
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183
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Raimúndez E, Dudkin E, Vanhoefer J, Alamoudi E, Merkt S, Fuhrmann L, Bai F, Hasenauer J. COVID-19 outbreak in Wuhan demonstrates the limitations of publicly available case numbers for epidemiological modeling. Epidemics 2021; 34:100439. [PMID: 33556763 PMCID: PMC7845523 DOI: 10.1016/j.epidem.2021.100439] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2020] [Revised: 01/19/2021] [Accepted: 01/21/2021] [Indexed: 01/12/2023] Open
Abstract
Epidemiological models are widely used to analyze the spread of diseases such as the global COVID-19 pandemic caused by SARS-CoV-2. However, all models are based on simplifying assumptions and often on sparse data. This limits the reliability of parameter estimates and predictions. In this manuscript, we demonstrate the relevance of these limitations and the pitfalls associated with the use of overly simplistic models. We considered the data for the early phase of the COVID-19 outbreak in Wuhan, China, as an example, and perform parameter estimation, uncertainty analysis and model selection for a range of established epidemiological models. Amongst others, we employ Markov chain Monte Carlo sampling, parameter and prediction profile calculation algorithms. Our results show that parameter estimates and predictions obtained for several established models on the basis of reported case numbers can be subject to substantial uncertainty. More importantly, estimates were often unrealistic and the confidence/credibility intervals did not cover plausible values of critical parameters obtained using different approaches. These findings suggest, amongst others, that standard compartmental models can be overly simplistic and that the reported case numbers provide often insufficient information for obtaining reliable and realistic parameter values, and for forecasting the evolution of epidemics.
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Affiliation(s)
- Elba Raimúndez
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany; Technische Universität München, Center for Mathematics, Garching, Germany
| | - Erika Dudkin
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany
| | - Jakob Vanhoefer
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany
| | - Emad Alamoudi
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany
| | - Simon Merkt
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany
| | - Lara Fuhrmann
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany
| | - Fan Bai
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany
| | - Jan Hasenauer
- Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany; Technische Universität München, Center for Mathematics, Garching, Germany; Helmholtz Zentrum München - German Research Center for Environmental Health, Institute of Computational Biology, Neuherberg, Germany.
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184
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Mohamed IA, Aissa AB, Hussein LF, Taloba AI, Kallel T. A new model for epidemic prediction: COVID-19 in kingdom saudi arabia case study. MATERIALS TODAY. PROCEEDINGS 2021:S2214-7853(21)00111-5. [PMID: 33520671 PMCID: PMC7826105 DOI: 10.1016/j.matpr.2021.01.088] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Received: 12/20/2020] [Accepted: 01/04/2021] [Indexed: 02/01/2023]
Abstract
Coronavirus disease-2019 (COVID-19) is a viral infection that rose in a city in the Chinese province of Hubei, Wuhan. The world did not wait too long until the virus spread to reach Europe, Africa, and America to be a global pandemic. Due to the lack of information about the behaviour of the virus, several prediction models are in use all over around the world for decision making and taking precautionary actions. Therefor, in this paper, a new model named MSIR based on SIR model is proposed. The model is used to predict the spread of the disease in three cities Riyadh, Hufof and Jeddah in the kingdom of Saudi Arabia. Also the estimation of disease propagation with and without containment measure is carried out. We think that the results could be used to enhance the predictability of the pandemic outbreaks in other cities and to build long term artificial intelligence prediction model.
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Affiliation(s)
- Islam Abdalla Mohamed
- Department of Computer Science, College of Science & Arts, Jouf University, Saudi Arabia
| | - Anis Ben Aissa
- Department of Physics, College of Science & Arts, Jouf University, Saudi Arabia
| | - Loay F Hussein
- Department of Computer Science, College of Science & Arts, Jouf University, Saudi Arabia
| | - Ahmed I Taloba
- Department of Computer Science, College of Science & Arts, Jouf University, Saudi Arabia
- Information System Department, Faculty of Computers and Information, Assiut University, Egypt
| | - Tarak Kallel
- Department of Physics, College of Science & Arts, Jouf University, Saudi Arabia
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185
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Levin MW, Shang M, Stern R. Effects of short-term travel on COVID-19 spread: A novel SEIR model and case study in Minnesota. PLoS One 2021; 16:e0245919. [PMID: 33481956 PMCID: PMC7822539 DOI: 10.1371/journal.pone.0245919] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2020] [Accepted: 01/10/2021] [Indexed: 01/12/2023] Open
Abstract
The novel coronavirus responsible for COVID-19 was first identified in Hubei Province, China in December, 2019. Within a matter of months the virus had spread and become a global pandemic. In addition to international air travel, local travel (e.g. by passenger car) contributes to the geographic spread of COVID-19. We modify the common susceptible-exposed-infectious-removed (SEIR) virus spread model and investigate the extent to which short-term travel associated with driving influences the spread of the virus. We consider the case study of the US state of Minnesota, and calibrated the proposed model with travel and viral spread data. Using our modified SEIR model that considers local short-term travel, we are able to better explain the virus spread than using the long-term travel SEIR model. Short-term travel associated with driving is predicted to be a significant contributor to the historical and future spread of COVID-19. The calibrated model also predicts the proportion of infections that were detected. We find that if driving trips remain at current levels, a substantial increase in COVID-19 cases may be observed in Minnesota, while decreasing intrastate travel could help contain the virus spread.
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Affiliation(s)
- Michael W. Levin
- Department of Civil, Environmental, and Geo- Engineering, University of Minnesota, Minneapolis, Minnesota, United States of America
| | - Mingfeng Shang
- Department of Civil, Environmental, and Geo- Engineering, University of Minnesota, Minneapolis, Minnesota, United States of America
| | - Raphael Stern
- Department of Civil, Environmental, and Geo- Engineering, University of Minnesota, Minneapolis, Minnesota, United States of America
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186
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Mahikul W, Chotsiri P, Ploddi K, Pan-ngum W. Evaluating the Impact of Intervention Strategies on the First Wave and Predicting the Second Wave of COVID-19 in Thailand: A Mathematical Modeling Study. BIOLOGY 2021; 10:biology10020080. [PMID: 33499138 PMCID: PMC7911628 DOI: 10.3390/biology10020080] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/28/2020] [Accepted: 01/13/2021] [Indexed: 12/15/2022]
Abstract
Coronavirus disease 2019 (COVID-19) has spread rapidly worldwide. This study aimed to assess and predict the incidence of COVID-19 in Thailand, including the preparation and evaluation of intervention strategies. An SEIR (susceptible, exposed, infected, recovered) model was implemented with model parameters estimated using the Bayesian approach. The model's projections showed that the highest daily reported incidence of COVID-19 would be approximately 140 cases (95% credible interval, CrI: 83-170 cases) by the end of March 2020. After Thailand declared an emergency decree, the numbers of new cases and case fatalities decreased, with no new imported cases. According to the model's predictions, the incidence would be zero at the end of June if non-pharmaceutical interventions (NPIs) were strictly and widely implemented. These stringent NPIs reduced the effective reproductive number (Rt) to 0.73 per day (95% CrI: 0.53-0.93) during April and May. Sensitivity analysis showed that contact rate, hand washing, and face mask wearing effectiveness were the parameters that most influenced the number of reported daily new cases. Our evaluation shows that Thailand's intervention strategies have been highly effective in mitigating disease propagation. Continuing with these strict disease prevention behaviors could minimize the risk of a new COVID-19 outbreak in Thailand.
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Affiliation(s)
- Wiriya Mahikul
- Faculty of Medicine and Public Health, HRH Princess Chulabhorn College of Medical Science, Chulabhorn Royal Academy, Bangkok 10210, Thailand;
- Department of Fundamentals of Public Health, Faculty of Public Health, Burapha University, Chonburi 20131, Thailand
| | - Palang Chotsiri
- Mahidol-Oxford Tropical Medicine Research Unit, Faculty of Tropical Medicine, Mahidol University, Bangkok 10400, Thailand;
| | - Kritchavat Ploddi
- Division of Epidemiology, Department of Disease Control, Ministry of Public Health, Nonthaburi 11000, Thailand;
| | - Wirichada Pan-ngum
- Mahidol-Oxford Tropical Medicine Research Unit, Faculty of Tropical Medicine, Mahidol University, Bangkok 10400, Thailand;
- Department of Tropical Hygiene, Faculty of Tropical Medicine, Mahidol University, Bangkok 10400, Thailand
- Correspondence: ; Tel.: +66-2-354-9188; Fax: +66-2-354-9169
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187
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Liu Z, Magal P, Webb G. Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom. J Theor Biol 2021; 509:110501. [PMID: 32980371 PMCID: PMC7516517 DOI: 10.1016/j.jtbi.2020.110501] [Citation(s) in RCA: 27] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/21/2020] [Revised: 09/16/2020] [Accepted: 09/18/2020] [Indexed: 02/06/2023]
Abstract
We model the COVID-19 coronavirus epidemics in China, South Korea, Italy, France, Germany and the United Kingdom. We identify the early phase of the epidemics, when the number of cases grows exponentially, before government implementation of major control measures. We identify the next phase of the epidemics, when these social measures result in a time-dependent exponentially decreasing number of cases. We use reported case data, both asymptomatic and symptomatic, to model the transmission dynamics. We also incorporate into the transmission dynamics unreported cases. We construct our models with comprehensive consideration of the identification of model parameters. A key feature of our model is the evaluation of the timing and magnitude of implementation of major public policies restricting social movement. We project forward in time the development of the epidemics in these countries based on our model analysis.
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Affiliation(s)
- Z Liu
- School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People's Republic of China
| | - P Magal
- Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France; CNRS, IMB, UMR 5251, F-33400 Talence, France.
| | - G Webb
- Mathematics Department, Vanderbilt University, Nashville, TN, USA
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188
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Liu Z, Magal P, Webb G. Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom. J Theor Biol 2021; 509:110501. [PMID: 32980371 DOI: 10.1101/2020.04.14.20064824] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/21/2020] [Revised: 09/16/2020] [Accepted: 09/18/2020] [Indexed: 05/22/2023]
Abstract
We model the COVID-19 coronavirus epidemics in China, South Korea, Italy, France, Germany and the United Kingdom. We identify the early phase of the epidemics, when the number of cases grows exponentially, before government implementation of major control measures. We identify the next phase of the epidemics, when these social measures result in a time-dependent exponentially decreasing number of cases. We use reported case data, both asymptomatic and symptomatic, to model the transmission dynamics. We also incorporate into the transmission dynamics unreported cases. We construct our models with comprehensive consideration of the identification of model parameters. A key feature of our model is the evaluation of the timing and magnitude of implementation of major public policies restricting social movement. We project forward in time the development of the epidemics in these countries based on our model analysis.
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Affiliation(s)
- Z Liu
- School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People's Republic of China
| | - P Magal
- Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France; CNRS, IMB, UMR 5251, F-33400 Talence, France.
| | - G Webb
- Mathematics Department, Vanderbilt University, Nashville, TN, USA
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189
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Liu Z, Magal P, Webb G. Predicting the number of reported and unreported cases for the COVID-19 epidemics in China, South Korea, Italy, France, Germany and United Kingdom. J Theor Biol 2021. [PMID: 32980371 DOI: 10.1101/2020.03.21.20040154] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/13/2023]
Abstract
We model the COVID-19 coronavirus epidemics in China, South Korea, Italy, France, Germany and the United Kingdom. We identify the early phase of the epidemics, when the number of cases grows exponentially, before government implementation of major control measures. We identify the next phase of the epidemics, when these social measures result in a time-dependent exponentially decreasing number of cases. We use reported case data, both asymptomatic and symptomatic, to model the transmission dynamics. We also incorporate into the transmission dynamics unreported cases. We construct our models with comprehensive consideration of the identification of model parameters. A key feature of our model is the evaluation of the timing and magnitude of implementation of major public policies restricting social movement. We project forward in time the development of the epidemics in these countries based on our model analysis.
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Affiliation(s)
- Z Liu
- School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People's Republic of China
| | - P Magal
- Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France; CNRS, IMB, UMR 5251, F-33400 Talence, France.
| | - G Webb
- Mathematics Department, Vanderbilt University, Nashville, TN, USA
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190
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Boateng GO, Phipps LM, Smith LE, Armah FA. Household Energy Insecurity and COVID-19 Have Independent and Synergistic Health Effects on Vulnerable Populations. Front Public Health 2021; 8:609608. [PMID: 33553095 PMCID: PMC7859644 DOI: 10.3389/fpubh.2020.609608] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/23/2020] [Accepted: 12/22/2020] [Indexed: 02/03/2023] Open
Abstract
Household energy insecurity (HEINS) is detrimental to the health of the poor and most vulnerable in resource-poor settings. However, this effect amidst the COVID-19 pandemic and the uneven implementation of restrictions can create a synergistic burden of diseases and health risks for the most vulnerable in low- and middle-income countries, exacerbating the health equity gap. Based on existing literature, this paper develops three key arguments: (1) COVID-19 increases the health risks of energy insecurity; (2) HEINS increases the risk of spreading COVID-19; and (3) the co-occurrence of COVID-19 and HEINS will have compounding health effects. These arguments make context-specific interventions, rather than a generic global health approach without recourse to existing vulnerabilities critical in reducing the spread of COVID-19 and mitigating the effects of energy insecurity. Targeted international efforts aimed at financing and supporting resource security, effective testing, contact tracing, and the equitable distribution of vaccines and personal protective equipment have the potential to ameliorate the synergistic effects of HEINS and COVID-19 in resource-poor countries.
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Affiliation(s)
- Godfred O. Boateng
- Department of Kinesiology, College of Nursing and Health Innovations, The University of Texas at Arlington, Arlington, TX, United States
| | - Laura M. Phipps
- Department of Kinesiology, College of Nursing and Health Innovations, The University of Texas at Arlington, Arlington, TX, United States
| | - Laura E. Smith
- Department of Epidemiology and Environmental Health, School of Public Health and Health Professions, University at Buffalo, Buffalo, NY, United States
| | - Frederick A. Armah
- Department of Environmental Science, University of Cape Coast, Cape Coast, Ghana
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191
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Using Artificial Neural Network with Prey Predator Algorithm for Prediction of the COVID-19: The Case of Brazil and Mexico. MATHEMATICS 2021. [DOI: 10.3390/math9020180] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
The spread of the COVID-19 epidemic worldwide has led to investigations in various aspects, including the estimation of expected cases. As it helps in identifying the need to deal with cases caused by the pandemic. In this study, we have used artificial neural networks (ANNs) to predict the number of cases of COVID-19 in Brazil and Mexico in the upcoming days. Prey predator algorithm (PPA), as a type of metaheuristic algorithm, is used to train the models. The proposed ANN models’ performance has been analyzed by the root mean squared error (RMSE) function and correlation coefficient (R). It is demonstrated that the ANN models have the highest performance in predicting the number of infections (active cases), recoveries, and deaths in Brazil and Mexico. The simulation results of the ANN models show very well predicted values. Percentages of the ANN’s prediction errors with metaheuristic algorithms are significantly lower than traditional monolithic neural networks. The study shows the expected numbers of infections, recoveries, and deaths that Brazil and Mexico will reach daily at the beginning of 2021.
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192
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Goic M, Bozanic-Leal MS, Badal M, Basso LJ. COVID-19: Short-term forecast of ICU beds in times of crisis. PLoS One 2021; 16:e0245272. [PMID: 33439917 PMCID: PMC7806165 DOI: 10.1371/journal.pone.0245272] [Citation(s) in RCA: 32] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2020] [Accepted: 12/27/2020] [Indexed: 11/19/2022] Open
Abstract
By early May 2020, the number of new COVID-19 infections started to increase rapidly in Chile, threatening the ability of health services to accommodate all incoming cases. Suddenly, ICU capacity planning became a first-order concern, and the health authorities were in urgent need of tools to estimate the demand for urgent care associated with the pandemic. In this article, we describe the approach we followed to provide such demand forecasts, and we show how the use of analytics can provide relevant support for decision making, even with incomplete data and without enough time to fully explore the numerical properties of all available forecasting methods. The solution combines autoregressive, machine learning and epidemiological models to provide a short-term forecast of ICU utilization at the regional level. These forecasts were made publicly available and were actively used to support capacity planning. Our predictions achieved average forecasting errors of 4% and 9% for one- and two-week horizons, respectively, outperforming several other competing forecasting models.
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Affiliation(s)
- Marcel Goic
- Department of Industrial Engineering, University of Chile, Santiago, Chile
| | - Mirko S. Bozanic-Leal
- Department of Industrial Engineering, University of Chile, Santiago, Chile
- Instituto de Sistemas Complejos de Ingeniería (ISCI), Santiago, Chile
| | - Magdalena Badal
- Department of Industrial Engineering, University of Chile, Santiago, Chile
- Instituto de Sistemas Complejos de Ingeniería (ISCI), Santiago, Chile
| | - Leonardo J. Basso
- Instituto de Sistemas Complejos de Ingeniería (ISCI), Santiago, Chile
- Department of Civil Engineering, University of Chile, Santiago, Chile
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193
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Gnanvi JE, Salako KV, Kotanmi GB, Glèlè Kakaï R. On the reliability of predictions on Covid-19 dynamics: A systematic and critical review of modelling techniques. Infect Dis Model 2021; 6:258-272. [PMID: 33458453 PMCID: PMC7802527 DOI: 10.1016/j.idm.2020.12.008] [Citation(s) in RCA: 43] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2020] [Revised: 12/29/2020] [Accepted: 12/29/2020] [Indexed: 12/18/2022] Open
Abstract
Since the emergence of the novel 2019 coronavirus pandemic in December 2019 (COVID-19), numerous modellers have used diverse techniques to assess the dynamics of transmission of the disease, predict its future course and determine the impact of different control measures. In this study, we conducted a global systematic literature review to summarize trends in the modelling techniques used for Covid-19 from January 1st, 2020 to November 30th, 2020. We further examined the accuracy and precision of predictions by comparing predicted and observed values for cumulative cases and deaths as well as uncertainties of these predictions. From an initial 4311 peer-reviewed articles and preprints found with our defined keywords, 242 were fully analysed. Most studies were done on Asian (78.93%) and European (59.09%) countries. Most of them used compartmental models (namely SIR and SEIR) (46.1%) and statistical models (growth models and time series) (31.8%) while few used artificial intelligence (6.7%), Bayesian approach (4.7%), Network models (2.3%) and Agent-based models (1.3%). For the number of cumulative cases, the ratio of the predicted over the observed values and the ratio of the amplitude of confidence interval (CI) or credibility interval (CrI) of predictions and the central value were on average larger than 1 indicating cases of inaccurate and imprecise predictions, and large variation across predictions. There was no clear difference among models used for these two ratios. In 75% of predictions that provided CI or CrI, observed values fall within the 95% CI or CrI of the cumulative cases predicted. Only 3.7% of the studies predicted the cumulative number of deaths. For 70% of the predictions, the ratio of predicted over observed cumulative deaths was less or close to 1. Also, the Bayesian model made predictions closer to reality than classical statistical models, although these differences are only suggestive due to the small number of predictions within our dataset (9 in total). In addition, we found a significant negative correlation (rho = - 0.56, p = 0.021) between this ratio and the length (in days) of the period covered by the modelling, suggesting that the longer the period covered by the model the likely more accurate the estimates tend to be. Our findings suggest that while predictions made by the different models are useful to understand the pandemic course and guide policy-making, some were relatively accurate and precise while other not.
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Affiliation(s)
- Janyce Eunice Gnanvi
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, 04 BP 1525, Cotonou, Benin
| | - Kolawolé Valère Salako
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, 04 BP 1525, Cotonou, Benin
| | - Gaëtan Brezesky Kotanmi
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, 04 BP 1525, Cotonou, Benin
| | - Romain Glèlè Kakaï
- Laboratoire de Biomathématiques et d’Estimations Forestières, Université d’Abomey-Calavi, 04 BP 1525, Cotonou, Benin
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194
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Rauf HT, Lali MIU, Khan MA, Kadry S, Alolaiyan H, Razaq A, Irfan R. Time series forecasting of COVID-19 transmission in Asia Pacific countries using deep neural networks. PERSONAL AND UBIQUITOUS COMPUTING 2021; 27:733-750. [PMID: 33456433 PMCID: PMC7797027 DOI: 10.1007/s00779-020-01494-0] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/27/2020] [Accepted: 11/18/2020] [Indexed: 05/22/2023]
Abstract
The novel human coronavirus disease COVID-19 has become the fifth documented pandemic since the 1918 flu pandemic. COVID-19 was first reported in Wuhan, China, and subsequently spread worldwide. Almost all of the countries of the world are facing this natural challenge. We present forecasting models to estimate and predict COVID-19 outbreak in Asia Pacific countries, particularly Pakistan, Afghanistan, India, and Bangladesh. We have utilized the latest deep learning techniques such as Long Short Term Memory networks (LSTM), Recurrent Neural Network (RNN), and Gated Recurrent Units (GRU) to quantify the intensity of pandemic for the near future. We consider the time variable and data non-linearity when employing neural networks. Each model's salient features have been evaluated to foresee the number of COVID-19 cases in the next 10 days. The forecasting performance of employed deep learning models shown up to July 01, 2020, is more than 90% accurate, which shows the reliability of the proposed study. We hope that the present comparative analysis will provide an accurate picture of pandemic spread to the government officials so that they can take appropriate mitigation measures.
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Affiliation(s)
- Hafiz Tayyab Rauf
- Department of Computer Science, University of Gujrat, Gujrat, Pakistan
| | - M. Ikram Ullah Lali
- Department of Computer Science, University of Education, Lahore, 54770 Pakistan
| | | | - Seifedine Kadry
- Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, Lebanon
| | - Hanan Alolaiyan
- Department of Mathematics, King Saud University, Riyadh, 11451 Saudi Arabia
| | - Abdul Razaq
- Division of Science and Technology, Department of Mathematics, University of Education, Lahore, 54000 Pakistan
| | - Rizwana Irfan
- Department of Mathematics and Computer Science, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia
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195
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Tang F, Feng Y, Chiheb H, Fan J. The Interplay of Demographic Variables and Social Distancing Scores in Deep Prediction of U.S. COVID-19 Cases. ARXIV 2021:arXiv:2101.02113v1. [PMID: 33442559 PMCID: PMC7805455] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
With the severity of the COVID-19 outbreak, we characterize the nature of the growth trajectories of counties in the United States using a novel combination of spectral clustering and the correlation matrix. As the U.S. and the rest of the world are experiencing a severe second wave of infections, the importance of assigning growth membership to counties and understanding the determinants of the growth are increasingly evident. Subsequently, we select the demographic features that are most statistically significant in distinguishing the communities. Lastly, we effectively predict the future growth of a given county with an LSTM using three social distancing scores. This comprehensive study captures the nature of counties' growth in cases at a very micro-level using growth communities, demographic factors, and social distancing performance to help government agencies utilize known information to make appropriate decisions regarding which potential counties to target resources and funding to.
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Affiliation(s)
- Francesca Tang
- Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ
| | - Yang Feng
- Department of Biostatistics, New York University, New York City, NY
| | | | - Jianqing Fan
- Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ
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196
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Tarrataca L, Dias CM, Haddad DB, De Arruda EF. Flattening the curves: on-off lock-down strategies for COVID-19 with an application to Brazil. JOURNAL OF MATHEMATICS IN INDUSTRY 2021; 11:2. [PMID: 33432282 PMCID: PMC7787424 DOI: 10.1186/s13362-020-00098-w] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/24/2020] [Accepted: 12/26/2020] [Indexed: 05/03/2023]
Abstract
The current COVID-19 pandemic is affecting different countries in different ways. The assortment of reporting techniques alongside other issues, such as underreporting and budgetary constraints, makes predicting the spread and lethality of the virus a challenging task. This work attempts to gain a better understanding of how COVID-19 will affect one of the least studied countries, namely Brazil. Currently, several Brazilian states are in a state of lock-down. However, there is political pressure for this type of measures to be lifted. This work considers the impact that such a termination would have on how the virus evolves locally. This was done by extending the SEIR model with an on / off strategy. Given the simplicity of SEIR we also attempted to gain more insight by developing a neural regressor. We chose to employ features that current clinical studies have pinpointed has having a connection to the lethality of COVID-19. We discuss how this data can be processed in order to obtain a robust assessment. SUPPLEMENTARY INFORMATION The online version contains supplementary material available at 10.1186/s13362-020-00098-w.
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Affiliation(s)
- Luís Tarrataca
- Department of Computer Engineering, Celso Suckow da Fonseca Federal Center for Technological Education, Petrópolis, Brazil
| | - Claudia Mazza Dias
- Department of Technologies and Languages Multidisciplinary Institute, Federal Rural University of Rio de Janeiro, Nova Iguaçu, Brazil
| | - Diego Barreto Haddad
- Department of Computer Engineering, Celso Suckow da Fonseca Federal Center for Technological Education, Petrópolis, Brazil
| | - Edilson Fernandes De Arruda
- Alberto Luiz Coimbra Institute-Graduate School and Research in Engineering, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
- Department of Decision Analytics and Risk, Southampton Business School, University of Southampton, 12 University Rd, Southampton, SO17 1BJ UK
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197
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Shahrajabian MH, Sun W, Cheng Q. Product of natural evolution (SARS, MERS, and SARS-CoV-2); deadly diseases, from SARS to SARS-CoV-2. Hum Vaccin Immunother 2021; 17:62-83. [PMID: 32783700 PMCID: PMC7872062 DOI: 10.1080/21645515.2020.1797369] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/15/2020] [Revised: 06/24/2020] [Accepted: 07/10/2020] [Indexed: 12/13/2022] Open
Abstract
SARS-CoV-2, the virus causing COVID-19, is a single-stranded RNA virus belonging to the order Nidovirales, family Coronaviridae, and subfamily Coronavirinae. SARS-CoV-2 entry to cellsis initiated by the binding of the viral spike protein (S) to its cellular receptor. The roles of S protein in receptor binding and membrane fusion makes it a prominent target for vaccine development. SARS-CoV-2 genome sequence analysis has shown that this virus belongs to the beta-coronavirus genus, which includes Bat SARS-like coronavirus, SARS-CoV and MERS-CoV. A vaccine should induce a balanced immune response to elicit protective immunity. In this review, we compare and contrast these three important CoV diseases and how they inform on vaccine development.
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Affiliation(s)
| | - Wenli Sun
- Biotechnology Research Institute, Chinese Academy of Agricultural Sciences, Beijing, China
| | - Qi Cheng
- Biotechnology Research Institute, Chinese Academy of Agricultural Sciences, Beijing, China
- College of Life Sciences, Hebei Agricultural University, Baoding, Hebei, China
- Global Alliance of HeBAU-CLS&HeQiS for BioAl-Manufacturing, Baoding, Hebei, China
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198
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Jalilian A, Mateu J. A hierarchical spatio-temporal model to analyze relative risk variations of COVID-19: a focus on Spain, Italy and Germany. STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT : RESEARCH JOURNAL 2021; 35:797-812. [PMID: 33776559 PMCID: PMC7985594 DOI: 10.1007/s00477-021-02003-2] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 03/08/2021] [Indexed: 05/07/2023]
Abstract
The novel coronavirus disease (COVID-19) has spread rapidly across the world in a short period of time and with a heterogeneous pattern. Understanding the underlying temporal and spatial dynamics in the spread of COVID-19 can result in informed and timely public health policies. In this paper, we use a spatio-temporal stochastic model to explain the temporal and spatial variations in the daily number of new confirmed cases in Spain, Italy and Germany from late February 2020 to mid January 2021. Using a hierarchical Bayesian framework, we found that the temporal trends of the epidemic in the three countries rapidly reached their peaks and slowly started to decline at the beginning of April and then increased and reached their second maximum in the middle of November. However decline and increase of the temporal trend seems to show different patterns in Spain, Italy and Germany.
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Affiliation(s)
- Abdollah Jalilian
- Department of Statistics, Razi University, Kermanshah, 67149-67346 Iran
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199
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Comparative analysis of various supervised machine learning techniques for diagnosis of COVID-19. ELECTRONIC DEVICES, CIRCUITS, AND SYSTEMS FOR BIOMEDICAL APPLICATIONS 2021. [PMCID: PMC8084755 DOI: 10.1016/b978-0-323-85172-5.00020-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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200
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Borri A, Palumbo P, Papa F, Possieri C. Optimal design of lock-down and reopening policies for early-stage epidemics through SIR-D models. ANNUAL REVIEWS IN CONTROL 2021; 51:511-524. [PMID: 33390766 PMCID: PMC7758039 DOI: 10.1016/j.arcontrol.2020.12.002] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2020] [Revised: 11/27/2020] [Accepted: 12/01/2020] [Indexed: 05/06/2023]
Abstract
The diffusion of COVID-19 represents a real threat for the health and economic system of a country. Therefore the governments have to adopt fast containment measures in order to stop its spread and to prevent the related devastating consequences. In this paper, a technique is proposed to optimally design the lock-down and reopening policies so as to minimize an aggregate cost function accounting for the number of individuals that decease due to the spread of COVID-19. A constraint on the maximal number of concomitant infected patients is also taken into account in order to prevent the collapse of the health system. The optimal procedure is built on the basis of a simple SIR model that describes the outbreak of a generic disease, without attempting to accurately reproduce all the COVID-19 epidemic features. This modeling choice is motivated by the fact that the containing measurements are actuated during the very first period of the outbreak, when the characteristics of the new emergent disease are not known but timely containment actions are required. In fact, as a consequence of dealing with poor preliminary data, the simplest modeling choice is able to reduce unidentifiability problems. Further, the relative simplicity of this model allows to compute explicitly its solutions and to derive closed-form expressions for the maximum number of infected and for the steady-state value of deceased individuals. These expressions can be then used to design static optimization problems so to determine the (open-loop) optimal lock-down and reopening policies for early-stage epidemics accounting for both the health and economic costs.
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Affiliation(s)
- Alessandro Borri
- Istituto di Analisi dei Sistemi ed Informatica "A. Ruberti", Consiglio Nazionale delle Ricerche (IASI-CNR), 00185 Roma, Italy
| | - Pasquale Palumbo
- Department of Biotechnologies and Biosciences, University of Milano-Bicocca, 20126 Milan, Italy
| | - Federico Papa
- Istituto di Analisi dei Sistemi ed Informatica "A. Ruberti", Consiglio Nazionale delle Ricerche (IASI-CNR), 00185 Roma, Italy
| | - Corrado Possieri
- Istituto di Analisi dei Sistemi ed Informatica "A. Ruberti", Consiglio Nazionale delle Ricerche (IASI-CNR), 00185 Roma, Italy
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