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We formulate an optimal control problem to determine the lockdown policy to curb an epidemic where other control measures are not available yet. We present a unified framework to model the epidemic and economy that allows us to study the…

Systems and Control · Electrical Eng. & Systems 2022-01-20 Jagtap Kalyani Devendra , Kundan Kandhway

In the absence of drugs and vaccines, policymakers use non-pharmaceutical interventions such as social distancing to decrease rates of disease-causing contact, with the aim of reducing or delaying the epidemic peak. These measures carry…

Populations and Evolution · Quantitative Biology 2021-04-22 Dylan H. Morris , Fernando W. Rossine , Joshua B. Plotkin , Simon A. Levin

The most important features to assess the severity of an epidemic are its size and its timescale. We discuss these features in a systematic way in the context of SIR and SIR-type models. We investigate in detail how the size and timescale…

Populations and Evolution · Quantitative Biology 2020-06-29 Mariano Cadoni , Giuseppe Gaeta

The COVID-19 pandemic is one of the most pressing issues at present. A question which is particularly important for governments and policy makers is the following: Does the virus spread in the same way in different countries? Or are there…

Methodology · Statistics 2020-08-05 Marina Khismatullina , Michael Vogt

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

We propose a forecasting method for predicting epidemiological health series on a two-week horizon at the regional and interregional resolution. The approach is based on model order reduction of parametric compartmental models, and is…

Methodology · Statistics 2020-12-11 Athmane Bakhta , Thomas Boiveau , Yvon Maday , Olga Mula

In this paper, we introduce and study an age-structured epidemiological compartment model and its respective problem, applied but not limited to the COVID-19 pandemic, in order to investigate the role of the age of the individuals in the…

Dynamical Systems · Mathematics 2023-11-28 Vasiliki Bitsouni , Nikolaos Gialelis , Vasilis Tsilidis

In this article, we investigate the importance of demographic and contact patterns in determining the spread of COVID-19 and to the effectiveness of social distancing policies. We investigate these questions proposing an augmented…

Populations and Evolution · Quantitative Biology 2022-05-12 M. A. Ridenti , L. K. Teles , A. Maranhão , V. K. Teles

Waning immunity and reinfection are critical features of many infectious diseases, but epidemiological models often fail to capture the intricate interaction between an individual's history of immunity and their current infection status;…

Populations and Evolution · Quantitative Biology 2026-03-25 Raimund M. Kovacevic , Nikolaos I. Stilianakis , Vladimir M. Veliov

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…

The emergence of coronavirus disease 2019 (COVID-19) in the United States has forced federal and local governments to implement containment measures. Moreover, the severity of the situation has sparked engagement by both the research and…

Populations and Evolution · Quantitative Biology 2020-07-03 Min Lu , Hemant Ishwaran

The recent COVID-19 pandemic has led to an increasing interest in the modeling and analysis of infectious diseases. The pandemic has made a significant impact on the way we behave and interact in our daily life. The past year has witnessed…

Computer Science and Game Theory · Computer Science 2021-06-17 Shutian Liu , Yuhan Zhao , Quanyan Zhu

In the context of the ongoing Covid-19 pandemic, several reports and studies have attempted to model and predict the spread of the disease. There is also intense debate about policies for limiting the damage, both to health and to the…

Physics and Society · Physics 2020-05-04 Harshad Khadilkar , Tanuja Ganu , Deva P Seetharam

Epidemics of infectious diseases posing a serious risk to human health have occurred throughout history. During recent epidemics there has been much debate about policy, including how and when to impose restrictions on behaviour.…

Theoretical Economics · Economics 2024-04-08 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto , Matthew S. Turner

Epidemic models describe the evolution of a communicable disease over time. These models are often modified to include the effects of interventions (control measures) such as vaccination, social distancing, school closings etc. Many such…

Methodology · Statistics 2026-01-27 Heejong Bong , Valérie Ventura , Larry Wasserman

We model further development of the COVID-19 epidemic in the UK given the current data and assuming different scenarios of handling the epidemic. In this research, we further extend the stochastic model suggested in \cite{us} and…

Populations and Evolution · Quantitative Biology 2020-04-10 Anatoly Zhigljavsky , Roger Whitaker , Ivan Fesenko , Kobi Kremnizer , Jack Noonan

The COVID-19 pandemic constitutes one of the largest threats in recent decades to the health and economic welfare of populations globally. In this paper, we analyze different types of policy measures designed to fight the spread of the…

General Economics · Economics 2020-11-03 Philipp Bach , Victor Chernozhukov , Martin Spindler

The adoption of containment measures to reduce the amplitude of the epidemic peak is a key aspect in tackling the rapid spread of an epidemic. Classical compartmental models must be modified and studied to correctly describe the effects of…

Populations and Evolution · Quantitative Biology 2021-05-18 G. Albi , L. Pareschi , M. Zanella

Nonpharmaceutical interventions (NPI) such as banning public events or instituting lockdowns have been widely applied around the world to control the current COVID-19 pandemic. Typically, this type of intervention is imposed when an…

Optimization and Control · Mathematics 2020-11-03 Carla Castillo-Laborde , Taco de Wolff , Pedro Gajardo , Rodrigo Lecaros , Gerard Olivar , Hector Ramirez C