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Xu Z, Song J, Liu W, Wei D. An agent-based model with antibody dynamics information in COVID-19 epidemic simulation. Infect Dis Model 2023; 8:1151-1168. [PMID: 38033394 PMCID: PMC10685381 DOI: 10.1016/j.idm.2023.11.001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/11/2023] [Revised: 11/01/2023] [Accepted: 11/03/2023] [Indexed: 12/02/2023] Open
Abstract
Accurate prediction of the temporal and spatial characteristics of COVID-19 infection is of paramount importance for effective epidemic prevention and control. In order to accomplish this objective, we incorporated individual antibody dynamics into an agent-based model and devised a methodology that encompasses the dynamic behaviors of each individual, thereby explicitly capturing the count and spatial distribution of infected individuals with varying symptoms at distinct time points. Our model also permits the evaluation of diverse prevention and control measures. Based on our findings, the widespread employment of nucleic acid testing and the implementation of quarantine measures for positive cases and their close contacts in China have yielded remarkable outcomes in curtailing a less transmissible yet more virulent strain; however, they may prove inadequate against highly transmissible and less virulent variants. Additionally, our model excels in its ability to trace back to the initial infected case (patient zero) through early epidemic patterns. Ultimately, our model extends the frontiers of traditional epidemiological simulation methodologies and offers an alternative approach to epidemic modeling.
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Affiliation(s)
- Zhaobin Xu
- Department of Life Science, Dezhou University, Shandong, 253023, China
| | - Jian Song
- Department of Life Science, Dezhou University, Shandong, 253023, China
| | - Weidong Liu
- Department of Physical Education, Dezhou University, Shandong, 253023, China
| | - Dongqing Wei
- School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, Shanghai, 200030, China
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2
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Li D, Ren X, Su Y. Predicting COVID-19 using lioness optimization algorithm and graph convolution network. Soft comput 2023; 27:5437-5501. [PMID: 36686544 PMCID: PMC9838306 DOI: 10.1007/s00500-022-07778-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 12/21/2022] [Indexed: 01/11/2023]
Abstract
In this paper, a graph convolution network prediction model based on the lioness optimization algorithm (LsOA-GCN) is proposed to predict the cumulative number of confirmed COVID-19 cases in 17 regions of Hubei Province from March 23 to March 29, 2020, according to the transmission characteristics of COVID-19. On the one hand, Spearman correlation analysis with delay days and LsOA are used to capture the dynamic changes of feature information to obtain the temporal features. On the other hand, the graph convolutional network is used to capture the topological structure of the city network, so as to obtain spatial information and finally realize the prediction task. Then, we evaluate this model through performance evaluation indicators and statistical test methods and compare the results of LsOA-GCN with 10 representative prediction methods in the current epidemic prediction study. The experimental results show that the LsOA-GCN prediction model is significantly better than other prediction methods in all indicators and can successfully capture spatio-temporal information from feature data, thereby achieving accurate prediction of epidemic trends in different regions of Hubei Province.
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Affiliation(s)
- Dong Li
- College of Economics and Management, Xi’an University of Posts and Telecommunications, Xi’an, 710061 Shaanxi People’s Republic of China
| | - Xiaofei Ren
- College of Economics and Management, Xi’an University of Posts and Telecommunications, Xi’an, 710061 Shaanxi People’s Republic of China
| | - Yunze Su
- College of Economics and Management, Xi’an University of Posts and Telecommunications, Xi’an, 710061 Shaanxi People’s Republic of China
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3
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Liu C, Huang J, Chen S, Wang D, Zhang L, Liu X, Lian X. The impact of crowd gatherings on the spread of COVID-19. Environ Res 2022; 213:113604. [PMID: 35691382 PMCID: PMC9181815 DOI: 10.1016/j.envres.2022.113604] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/06/2021] [Revised: 05/27/2022] [Accepted: 05/31/2022] [Indexed: 06/15/2023]
Abstract
Crowd gatherings are an important cause of COVID-19 outbreaks. However, how the scale, scene and other factors of gatherings affect the spread of the epidemic remains unclear. A total of 184 gathering events worldwide were collected to construct a database, and 99 of them with a clear gathering scale were used for statistical analysis of the impact of these factors on the disease incidence among the crowd in the study. The results showed that the impact of small-scale (less than 100 people) gathering events on the spread of COVID-19 in the city is also not to be underestimated due to their characteristics of more frequent occurrence and less detection and control. In our dataset, 22.22% of small-scale events have an incidence of more than 0.8. In contrast, the incidence of most large-scale events is less than 0.4. Gathering scenes such as "Meal" and "Family" occur in densely populated private or small public places have the highest incidence. We further designed a model of epidemic transmission triggered by crowd gathering events and simulated the impact of crowd gathering events on the overall epidemic situation in the city. The simulation results showed that the number of patients will be drastically reduced if the scale and the density of crowds gathering are halved. It indicated that crowd gatherings should be strictly controlled on a small scale. In addition, it showed that the model well reproduce the epidemic spread after crowd gathering events better than does the original SIER model and could be applied to epidemic prediction after sudden gathering events.
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Affiliation(s)
- Chuwei Liu
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China
| | - Jianping Huang
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China.
| | - Siyu Chen
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China
| | - Danfeng Wang
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China
| | - Li Zhang
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China
| | - Xiaoyue Liu
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China
| | - Xinbo Lian
- Collaborative Innovation Center for Western Ecological Safety, College of Atmospheric Sciences, Lanzhou University, Lanzhou, 730000, China
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4
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Melikechi O, Young AL, Tang T, Bowman T, Dunson D, Johndrow J. Limits of epidemic prediction using SIR models. J Math Biol 2022; 85:36. [PMID: 36125562 PMCID: PMC9487859 DOI: 10.1007/s00285-022-01804-5] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2021] [Revised: 08/12/2022] [Accepted: 08/30/2022] [Indexed: 11/27/2022]
Abstract
The Susceptible-Infectious-Recovered (SIR) equations and their extensions comprise a commonly utilized set of models for understanding and predicting the course of an epidemic. In practice, it is of substantial interest to estimate the model parameters based on noisy observations early in the outbreak, well before the epidemic reaches its peak. This allows prediction of the subsequent course of the epidemic and design of appropriate interventions. However, accurately inferring SIR model parameters in such scenarios is problematic. This article provides novel, theoretical insight on this issue of practical identifiability of the SIR model. Our theory provides new understanding of the inferential limits of routinely used epidemic models and provides a valuable addition to current simulate-and-check methods. We illustrate some practical implications through application to a real-world epidemic data set.
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Affiliation(s)
- Omar Melikechi
- Department of Mathematics, Duke University, Durham, NC, USA.
| | | | - Tao Tang
- Department of Mathematics, Duke University, Durham, NC, USA
| | - Trevor Bowman
- Department of Mathematics, Duke University, Durham, NC, USA
| | - David Dunson
- Department of Mathematics, Duke University, Durham, NC, USA.,Department of Statistics, Duke University, Durham, NC, USA
| | - James Johndrow
- Department of Statistics, University of Pennsylvania, Philadelphia, PA, USA
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5
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Dai H, Cao W, Tong X, Yao Y, Peng F, Zhu J, Tian Y. Global prediction model for COVID-19 pandemic with the characteristics of the multiple peaks and local fluctuations. BMC Med Res Methodol 2022; 22:137. [PMID: 35562672 PMCID: PMC9100309 DOI: 10.1186/s12874-022-01604-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/09/2022] [Accepted: 04/11/2022] [Indexed: 11/10/2022] Open
Abstract
Background With the spread of COVID-19, the time-series prediction of COVID-19 has become a research hotspot. Unlike previous epidemics, COVID-19 has a new pattern of long-time series, large fluctuations, and multiple peaks. Traditional dynamical models are limited to curves with short-time series, single peak, smoothness, and symmetry. Secondly, most of these models have unknown parameters, which bring greater ambiguity and uncertainty. There are still major shortcomings in the integration of multiple factors, such as human interventions, environmental factors, and transmission mechanisms. Methods A dynamical model with only infected humans and removed humans was established. Then the process of COVID-19 spread was segmented using a local smoother. The change of infection rate at different stages was quantified using the continuous and periodic Logistic growth function to quantitatively describe the comprehensive effects of natural and human factors. Then, a non-linear variable and NO2 concentrations were introduced to qualify the number of people who have been prevented from infection through human interventions. Results The experiments and analysis showed the R2 of fitting for the US, UK, India, Brazil, Russia, and Germany was 0.841, 0.977, 0.974, 0.659, 0.992, and 0.753, respectively. The prediction accuracy of the US, UK, India, Brazil, Russia, and Germany in October was 0.331, 0.127, 0.112, 0.376, 0.043, and 0.445, respectively. Conclusion The model can not only better describe the effects of human interventions but also better simulate the temporal evolution of COVID-19 with local fluctuations and multiple peaks, which can provide valuable assistant decision-making information. Supplementary Information The online version contains supplementary material available at 10.1186/s12874-022-01604-x.
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Affiliation(s)
- Haoran Dai
- School of Geoscience and Technology, Zhengzhou University, Zhengzhou, 450001, China
| | - Wen Cao
- School of Geoscience and Technology, Zhengzhou University, Zhengzhou, 450001, China.
| | - Xiaochong Tong
- School of Geospatial Information, University of Information Engineering, Zhengzhou, 450001, China
| | - Yunxing Yao
- School of Geoscience and Technology, Zhengzhou University, Zhengzhou, 450001, China
| | - Feilin Peng
- School of Geoscience and Technology, Zhengzhou University, Zhengzhou, 450001, China
| | - Jingwen Zhu
- School of Geoscience and Technology, Zhengzhou University, Zhengzhou, 450001, China
| | - Yuzhen Tian
- School of Geoscience and Technology, Zhengzhou University, Zhengzhou, 450001, China
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6
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Chen BL, Shen YY, Zhu GC, Yu YT, Ji M. An Empirical Mode Decomposition Fuzzy Forecast Model for COVID-19. Neural Process Lett 2022; 55:1-22. [PMID: 35495852 PMCID: PMC9036514 DOI: 10.1007/s11063-022-10836-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 04/07/2022] [Indexed: 10/25/2022]
Abstract
At present, the Corona Virus Disease 2019 (COVID-19) is ravaging the world, bringing great impact on people's life safety and health as well as the healthy development of economy and society, so the research on the prediction of the development trend of the epidemic is crucial. In this paper, we focus on the prevention and control of epidemic using the relevant technologies in the field of artificial intelligence and signal analysis. With the unknown principle of epidemic transmission, we first smooth out the complex and variable epidemic data through the empirical mode decomposition model to obtain the change trends of epidemic data at different time scales. On this basis, the change trends under different time scales are trained using an extreme learning machine to obtain the corresponding prediction values, and finally the epidemic prediction results are obtained by fitting through Adaptive Network-based Fuzzy Inference System. The experimental results show that the algorithm has good learning ability, especially in the prediction of time-series sequences can guarantee the accuracy rate while having low time complexity. Therefore, this paper not only plays a theoretical support for epidemic prevention and control, but also plays an important role in the construction of public emergency health system in the long run.
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Affiliation(s)
- Bo-Lun Chen
- Department of Computer Science, Huaiyin Institute of Technology, Huaiyin, 223003 Jiangsu China
- Institute of Informatics, University of Zurich, 8050 Zurich, Switzerland
| | - Yi-Yun Shen
- Department of Computer Science, Huaiyin Institute of Technology, Huaiyin, 223003 Jiangsu China
| | - Guo-Chang Zhu
- Department of Computer Science, Huaiyin Institute of Technology, Huaiyin, 223003 Jiangsu China
| | - Yong-Tao Yu
- Department of Computer Science, Huaiyin Institute of Technology, Huaiyin, 223003 Jiangsu China
| | - Min Ji
- Department of Computer Science, Huaiyin Institute of Technology, Huaiyin, 223003 Jiangsu China
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7
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Sell TK, Warmbrod KL, Watson C, Trotochaud M, Martin E, Ravi SJ, Balick M, Servan-Schreiber E. Using prediction polling to harness collective intelligence for disease forecasting. BMC Public Health 2021; 21:2132. [PMID: 34801014 PMCID: PMC8605461 DOI: 10.1186/s12889-021-12083-y] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2020] [Accepted: 10/22/2021] [Indexed: 11/27/2022] Open
Abstract
Background The global spread of COVID-19 has shown that reliable forecasting of public health related outcomes is important but lacking. Methods We report the results of the first large-scale, long-term experiment in crowd-forecasting of infectious-disease outbreaks, where a total of 562 volunteer participants competed over 15 months to make forecasts on 61 questions with a total of 217 possible answers regarding 19 diseases. Results Consistent with the “wisdom of crowds” phenomenon, we found that crowd forecasts aggregated using best-practice adaptive algorithms are well-calibrated, accurate, timely, and outperform all individual forecasters. Conclusions Crowd forecasting efforts in public health may be a useful addition to traditional disease surveillance, modeling, and other approaches to evidence-based decision making for infectious disease outbreaks. Supplementary Information The online version contains supplementary material available at 10.1186/s12889-021-12083-y.
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Affiliation(s)
- Tara Kirk Sell
- Johns Hopkins Center for Health Security, Baltimore, USA. .,Department of Environmental Health and Engineering, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA.
| | - Kelsey Lane Warmbrod
- Johns Hopkins Center for Health Security, Baltimore, USA.,Department of Environmental Health and Engineering, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA
| | - Crystal Watson
- Johns Hopkins Center for Health Security, Baltimore, USA.,Department of Environmental Health and Engineering, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA
| | - Marc Trotochaud
- Johns Hopkins Center for Health Security, Baltimore, USA.,Department of Environmental Health and Engineering, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA
| | - Elena Martin
- Johns Hopkins Center for Health Security, Baltimore, USA.,Department of Environmental Health and Engineering, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA
| | - Sanjana J Ravi
- Johns Hopkins Center for Health Security, Baltimore, USA.,Department of Environmental Health and Engineering, Johns Hopkins Bloomberg School of Public Health, Baltimore, USA
| | | | - Emile Servan-Schreiber
- Hypermind, llc, New York, USA.,School of Collective Intelligence, Mohammed VI Polytechnic University, Ben Guerir, Morocco
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8
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Bassett J, Gethmann J, Blunk P, Conraths FJ, Hövel P. Individual-based model for the control of Bovine Viral Diarrhea spread in livestock trade networks. J Theor Biol 2021; 527:110820. [PMID: 34216591 DOI: 10.1016/j.jtbi.2021.110820] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2020] [Revised: 05/31/2021] [Accepted: 06/23/2021] [Indexed: 10/21/2022]
Abstract
Bovine Viral Diarrhea (BVD) is a cattle disease that causes substantial financial losses, in particular to the dairy industry. Hence, several countries including Germany introduced compulsory disease control programs. For the case of Germany in particular, all animals had to be tested and persistently infected animals (PI animals) were removed from the population. The program was successful in reducing the number of PI animals, but was overtly expensive. Alternative approaches were therefore discussed to eliminate the remaining PI animals and alter the testing system in order to reduce costs. Contributing to these efforts, we developed an agent-based model that aimed to cover all relevant aspects of the disease biology and would allow to evaluate different control strategies. For the biological part of the infection spread, the model includes horizontal and vertical transmission, transient and persistent infections. Moreover, several control strategies including import of animals, trade restrictions, vaccination, as well as various testing schemes were included. The model was furthermore defined to be stochastic, event-driven and hierarchical, with cattle movements as the main route of spreading between farms. For the spread within farms, we included susceptible-infected-recovered (SIR) dynamics with an additional permanently infectious class. The interaction between the farms was described by a supply and demand farm manager mechanism governing the network structure and dynamics. Additionally, we carried out a sensitivity analysis of the input parameters to study the impact of extreme values on the model. Since the population size in the model is limited, we tested the influence of the initial population size on the model results. Our results showed that the model could accurately describe the dynamics of the disease in the presence and absence of disease control. Although we developed the model for the spread of BVD, it may be adapted to similar diseases of cattle and swine.
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Affiliation(s)
- Jason Bassett
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, Berlin 10623, Germany; Center for Humans and Machines, Max Planck Institute for Human Development, Lentzeallee 94, Berlin 14195, Germany.
| | - Jörn Gethmann
- Friedrich-Loeffler-Institut, Institute of Epidemiology, Südufer 10, Greifswald - Insel Riems, 17493 Germany
| | - Pascal Blunk
- Beta Systems IAM Software AG, Alt-Moabit 90d, Berlin 10559, Germany
| | - Franz J Conraths
- Friedrich-Loeffler-Institut, Institute of Epidemiology, Südufer 10, Greifswald - Insel Riems, 17493 Germany
| | - Philipp Hövel
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, Berlin 10623, Germany; School of Mathematical Sciences, University College Cork, Cork T12 XF64, Ireland
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9
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Angulo MT, Velasco-Hernandez JX. Robust qualitative estimation of time-varying contact rates in uncertain epidemics. Epidemics 2018; 24:98-104. [PMID: 29567063 DOI: 10.1016/j.epidem.2018.03.001] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2017] [Revised: 09/15/2017] [Accepted: 03/07/2018] [Indexed: 11/20/2022] Open
Abstract
We will inevitably face new epidemics where the lack of long time-series data and the uncertainty about the outbreak dynamics make difficult to obtain quantitative predictions. Here we present an algorithm to qualitatively infer time-varying contact rates from short time-series data, letting us predict the start, relative magnitude and decline of epidemic outbreaks. Using real time-series data of measles, dengue, and the current zika outbreak, we demonstrate our algorithm can outperform existing algorithms based on estimating reproductive numbers.
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Affiliation(s)
- Marco Tulio Angulo
- CONACyT - Institute of Mathematics, Universidad Nacional Autónoma de México (UNAM), Juriquilla 76230, Mexico.
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10
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Li EY, Tung CY, Chang SH. The wisdom of crowds in action: Forecasting epidemic diseases with a web-based prediction market system. Int J Med Inform 2016; 92:35-43. [PMID: 27318069 DOI: 10.1016/j.ijmedinf.2016.04.014] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2015] [Revised: 03/08/2016] [Accepted: 04/26/2016] [Indexed: 10/21/2022]
Abstract
BACKGROUND The quest for an effective system capable of monitoring and predicting the trends of epidemic diseases is a critical issue for communities worldwide. With the prevalence of Internet access, more and more researchers today are using data from both search engines and social media to improve the prediction accuracy. In particular, a prediction market system (PMS) exploits the wisdom of crowds on the Internet to effectively accomplish relatively high accuracy. OBJECTIVE This study presents the architecture of a PMS and demonstrates the matching mechanism of logarithmic market scoring rules. The system was implemented to predict infectious diseases in Taiwan with the wisdom of crowds in order to improve the accuracy of epidemic forecasting. METHODS The PMS architecture contains three design components: database clusters, market engine, and Web applications. The system accumulated knowledge from 126 health professionals for 31 weeks to predict five disease indicators: the confirmed cases of dengue fever, the confirmed cases of severe and complicated influenza, the rate of enterovirus infections, the rate of influenza-like illnesses, and the confirmed cases of severe and complicated enterovirus infection. RESULTS Based on the winning ratio, the PMS predicts the trends of three out of five disease indicators more accurately than does the existing system that uses the five-year average values of historical data for the same weeks. In addition, the PMS with the matching mechanism of logarithmic market scoring rules is easy to understand for health professionals and applicable to predict all the five disease indicators. CONCLUSIONS The PMS architecture of this study affords organizations and individuals to implement it for various purposes in our society. The system can continuously update the data and improve prediction accuracy in monitoring and forecasting the trends of epidemic diseases. Future researchers could replicate and apply the PMS demonstrated in this study to more infectious diseases and wider geographical areas, especially the under-developed countries across Asia and Africa.
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Affiliation(s)
- Eldon Y Li
- Department of Management Information Systems, National Chengchi University, Taipei City 11605, Taiwan, ROC.
| | - Chen-Yuan Tung
- Graduate Institute of Development Studies, National Chengchi University, Taipei City 11605, Taiwan, ROC.
| | - Shu-Hsun Chang
- Department of Management Information Systems, National Chengchi University, Taipei City 11605, Taiwan, ROC.
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11
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Brown GD, Oleson JJ, Porter AT. An empirically adjusted approach to reproductive number estimation for stochastic compartmental models: A case study of two Ebola outbreaks. Biometrics 2015; 72:335-43. [PMID: 26574727 DOI: 10.1111/biom.12432] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/01/2015] [Revised: 09/01/2015] [Accepted: 09/01/2015] [Indexed: 11/27/2022]
Abstract
The various thresholding quantities grouped under the "Basic Reproductive Number" umbrella are often confused, but represent distinct approaches to estimating epidemic spread potential, and address different modeling needs. Here, we contrast several common reproduction measures applied to stochastic compartmental models, and introduce a new quantity dubbed the "empirically adjusted reproductive number" with several advantages. These include: more complete use of the underlying compartmental dynamics than common alternatives, use as a potential diagnostic tool to detect the presence and causes of intensity process underfitting, and the ability to provide timely feedback on disease spread. Conceptual connections between traditional reproduction measures and our approach are explored, and the behavior of our method is examined under simulation. Two illustrative examples are developed: First, the single location applications of our method are established using data from the 1995 Ebola outbreak in the Democratic Republic of the Congo and a traditional stochastic SEIR model. Second, a spatial formulation of this technique is explored in the context of the ongoing Ebola outbreak in West Africa with particular emphasis on potential use in model selection, diagnosis, and the resulting applications to estimation and prediction. Both analyses are placed in the context of a newly developed spatial analogue of the traditional SEIR modeling approach.
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Affiliation(s)
- Grant D Brown
- Department of Biostatistics, University of Iowa, Iowa City, Iowa, 52242, U.S.A
| | - Jacob J Oleson
- Department of Biostatistics, University of Iowa, Iowa City, Iowa, 52242, U.S.A
| | - Aaron T Porter
- Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, Colorado, 80401, U.S.A
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12
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Corberán-Vallet A, Santonja FJ. A Bayesian SIRS model for the analysis of respiratory syncytial virus in the region of Valencia, Spain. Biom J 2014; 56:808-18. [PMID: 25088210 DOI: 10.1002/bimj.201300194] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2013] [Revised: 04/21/2014] [Accepted: 05/25/2014] [Indexed: 11/05/2022]
Abstract
We present a Bayesian stochastic susceptible-infected-recovered-susceptible (SIRS) model in discrete time to understand respiratory syncytial virus dynamics in the region of Valencia, Spain. A SIRS model based on ordinary differential equations has also been proposed to describe RSV dynamics in the region of Valencia. However, this continuous-time deterministic model is not suitable when the initial number of infected individuals is small. Stochastic epidemic models based on a probability of disease transmission provide a more natural description of the spread of infectious diseases. In addition, by allowing the transmission rate to vary stochastically over time, the proposed model provides an improved description of RSV dynamics. The Bayesian analysis of the model allows us to calculate both the posterior distribution of the model parameters and the posterior predictive distribution, which facilitates the computation of point forecasts and prediction intervals for future observations.
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Affiliation(s)
- Ana Corberán-Vallet
- Department of Statistics and Operational Research, University of Valencia, Dr. Moliner 50, 46100, Burjassot, Spain
| | - Francisco J Santonja
- Department of Statistics and Operational Research, University of Valencia, Dr. Moliner 50, 46100, Burjassot, Spain
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