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The spreading dynamics of infectious diseases is influenced by individual behaviours, which are in turn affected by the level of awareness about the epidemic. Modelling the co-evolution of disease transmission and behavioural changes within…

Physics and Society · Physics 2026-02-27 Daniele Proverbio , Riccardo Tessarin , Giulia Giordano

This paper proposes optimal lockdown management policies based on short-term prediction of active COVID-19 confirmed cases to ensure the availability of critical medical resources. The optimal time to start the lockdown from the current…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Shuvrangshu Jana , Debasish Ghose

During the COVID-19 crisis there have been many difficult decisions governments and other decision makers had to make. E.g. do we go for a total lock down or keep schools open? How many people and which people should be tested? Although…

Breaking a complex bio-social phenomenon (epidemic) into its components, considering the processes that determine its dynamics, formalizing the accepted hypotheses in mathematical equations, selecting appropriate experimental and…

Physics and Society · Physics 2020-06-16 A. V. Sokolov , L. A. Sokolova

We present modeling of the COVID-19 epidemic in Illinois, USA, capturing the implementation of a Stay-at-Home order and scenarios for its eventual release. We use a non-Markovian age-of-infection model that is capable of handling long and…

Populations and Evolution · Quantitative Biology 2020-11-25 George N. Wong , Zachary J. Weiner , Alexei V. Tkachenko , Ahmed Elbanna , Sergei Maslov , Nigel Goldenfeld

We propose a mathematical model for the transmission dynamics of SARS-CoV-2 in a homogeneously mixing non constant population, and generalize it to a model where the parameters are given by piecewise constant functions. This allows us to…

In this paper, we propose a dynamical model to describe the transmission of COVID-19, which is spreading in China and many other countries. To avoid a larger outbreak in the worldwide, Chinese government carried out a series of strong…

Populations and Evolution · Quantitative Biology 2020-03-09 Jiwei Jia , Jian Ding , Siyu Liu , Guidong Liao , Jingzhi Li , Ben Duan , Guoqing Wang , Ran Zhang

Decision making in the face of a disaster requires the consideration of several complex factors. In such cases, Bayesian multi-criteria decision analysis provides a framework for decision making. In this paper, we present how to construct a…

Applications · Statistics 2021-12-21 Peter Strong , Aditi Shenvi , Xuewen Yu , K. Nadia Papamichail , Henry P Wynn , Jim Q Smith

The COVID-19 pandemic has severely impacted health systems and economies worldwide. Significant global efforts are therefore ongoing to improve vaccine efficacies, optimize vaccine deployment, and develop new antiviral therapies to combat…

Populations and Evolution · Quantitative Biology 2021-12-21 Rajat Desikan , Pranesh Padmanabhan , Andrzej M. Kierzek , Piet H. van der Graaf

Scientific advice to the UK government throughout the COVID-19 pandemic has been informed by ensembles of epidemiological models provided by members of the Scientific Pandemic Influenza group on Modelling (SPI-M). Among other applications,…

Applications · Statistics 2021-08-13 D. S. Silk , V. E. Bowman , D. Semochkina , U. Dalrymple , D. C. Woods

The potential tradeoff between health outcomes and economic impact has been a major challenge in the policy making process during the COVID-19 pandemic. Epidemic-economic models designed to address this issue are either too aggregate to…

Motivated by COVID-19, we develop and analyze a simple stochastic model for a disease spread in human population. We track how the number of infected and critically ill people develops over time in order to estimate the demand that is…

Populations and Evolution · Quantitative Biology 2022-05-10 Jakub Svoboda , Josef Tkadlec , Andreas Pavlogiannis , Krishnendu Chatterjee , Martin A. Nowak

We present three data driven model-types for COVID-19 with a minimal number of parameters to provide insights into the spread of the disease that may be used for developing policy responses. The first is exponential growth, widely studied…

Populations and Evolution · Quantitative Biology 2022-05-25 Andrea L. Bertozzi , Elisa Franco , George Mohler , Martin B. Short , Daniel Sledge

In order to investigate the effectiveness of lockdown and social distancing restrictions, which have been widely carried out as policy choice to curb the ongoing COVID-19 pandemic around the world, we formulate and discuss a staged and…

Physics and Society · Physics 2020-08-20 Jing Ge , Daihai He , Zhigui Lin , Huaiping Zhu , Zian Zhuang

Mathematical models of SARS-CoV-2 spread are used for guiding the design of mitigation steps aimed at containing and decelerating the contagion, and at identifying impending breaches of health care system surge capacity. The challenges of…

Populations and Evolution · Quantitative Biology 2020-06-17 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

During the early stage of the COVID-19 pandemic, many countries implemented non-pharmaceutical interventions (NPIs) to control the transmission of SARS-CoV-2, the causative pathogen of COVID-19. Among those NPIs, quarantine measures were…

Populations and Evolution · Quantitative Biology 2022-03-04 Renquan Zhang , Yu Wang , Zheng Lv , Sen Pei

Disease transmission is studied through disciplines like epidemiology, applied mathematics, and statistics. Mathematical simulation models for transmission have implications in solving public and personal health challenges. The SIR model…

Populations and Evolution · Quantitative Biology 2022-01-04 R. Jayatilaka , R. Patel , M. Brar , Y. Tang , N. M. Jisrawi , F. Chishtie , J. Drozd , S. R. Valluri

Epidemiological models are an important tool in coping with epidemics, as they offer a forecast, even if often simplistic, of the behavior of the disease in the population. This allows responsible health agencies to organize themselves and…

Populations and Evolution · Quantitative Biology 2023-08-03 Eliza Maria Ferreira , Ricardo Edem Ferreira , Chiara Mocenni

Intent of this research is to explore how mathematical models, specifically Susceptible-Infected-Removed (SIR) model, can be utilized to forecast peak outbreak timeline of COVID-19 epidemic amongst a population of interest starting from the…

Populations and Evolution · Quantitative Biology 2020-09-14 Amit Tewari

COVID-19 has shown a relatively low mortality rate in young healthy individuals, with the majority of this group being asymptomatic or having mild symptoms, while the severity of the disease among individuals with underlying health…

Physics and Society · Physics 2020-06-22 Dario Ortega Anderez , Eiman Kanjo , Ganna Pogrebna , Shane Johnson , John Alan Hunt