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We introduce a policy model coupled with the susceptible-infected-recovered (SIR) epidemic model to study interactions between policy-making and the dynamics of epidemics. We consider both single-region policies, as well as game-theoretic…

Optimization and Control · Mathematics 2024-08-06 Xia Li , Andrea L. Bertozzi , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

The design of coherent and efficient policies to address infectious diseases and their consequences requires to model not only epidemics dynamics, but also individual behaviors, as the latter has a strong influence on the former. In our…

Physics and Society · Physics 2024-04-16 Louis Bremaud , Olivier Giraud , Denis Ullmo

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this paper, we propose a multi-region SEIR model based on stochastic differential game theory,…

Optimization and Control · Mathematics 2021-03-10 Yao Xuan , Robert Balkin , Jiequn Han , Ruimeng Hu , Hector D. Ceniceros

National responses to the Covid-19 pandemic varied markedly across countries, from business-as-usual to complete shutdowns. Policies aimed at disrupting the viral transmission cycle and preventing the healthcare system from being…

Populations and Evolution · Quantitative Biology 2021-10-27 Arash Saeidpour , Pejman Rohani

During pandemic events, strategies such as social distancing can be fundamental to curb viral spreading. Such actions can reduce the number of simultaneous infections and mitigate the disease spreading, which is relevant to the risk of a…

Physics and Society · Physics 2021-02-24 Marco A. Amaral , Marcelo M. de Oliveira , Marco A. Javarone

A crucial aspect of managing a public health crisis is to effectively balance prevention and mitigation strategies, while taking their socio-economic impact into account. In particular, determining the influence of different…

In this research paper we modify a classical SIR model to better adapt to the dynamics of COVID-19, that is we propose the heterogeneous SQAIRD model where COVID-19 spreads over a population of economic agents, namely: the elderly, adults…

Optimization and Control · Mathematics 2021-05-19 Elena Gubar , Laura Policardo , Edgar J. Sanchez Carrera , Vladislav Taynitskiy

This review presents and reviews various solved and open problems in developing, analyzing, and mitigating epidemic spreading processes under human decision-making. We provide a review of a range of epidemic models and explain the pros and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Yunhan Huang , Quanyan Zhu

We study mechanisms of synchronisation, coordination, and equilibrium selection in two-player coordination games on multilayer networks. We apply the approach from evolutionary game theory with three possible update rules: the replicator…

Physics and Society · Physics 2023-08-22 Tomasz Raducha , Maxi San Miguel

In this paper, we consider an adaptive optimal control problem for an SIR/V epidemic model with human behavioral effects.We develop a model where effective management of infectious diseases are monitored by the means of non pharmaceutical…

Physics and Society · Physics 2025-12-09 Nuruzzaman Rahat , Abid Hossain , Muntasir Alam

The outcome of many social and economic interactions, such as stock-market transactions, is strongly determined by the predictions that agents make about the behavior of other individuals. Cognitive Hierarchy Theory provides a framework to…

Physics and Society · Physics 2016-12-04 Carlos Gracia-Lázaro , Luis M. Floría , Yamir Moreno

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

Non-pharmaceutical interventions (NPIs) are effective measures to contain a pandemic. Yet, such control measures commonly have a negative effect on the economy. Here, we propose a macro-level approach to support resolving this…

Neural and Evolutionary Computing · Computer Science 2021-02-25 Rohit Salgotra , Thomas Seidelmann , Dominik Fischer , Sanaz Mostaghim , Amiram Moshaiov

We propose and study a compartmental model for epidemiology with human behavioral effects. Specifically, our model incorporates governmental prevention measures aimed at lowering the disease infection rate, but we split the population into…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Chloe Ngo , Christian Parkinson , Weinan Wang

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 this paper, we investigate game-theoretic strategies for containing spreading processes on large-scale networks. Specifically, we consider the class of networked susceptible-infected-susceptible (SIS) epidemics where a large population…

Systems and Control · Electrical Eng. & Systems 2024-07-04 Abhisek Satapathi , Ashish R. Hota

The current COVID-19 pandemic has proven that proper control and prevention of infectious disease require creating and enforcing the appropriate public policies. One critical policy imposed by the policymakers is encouraging the population…

Populations and Evolution · Quantitative Biology 2020-09-04 Samuel Cho

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

In this paper, a hierarchical one-leader-multi-followers game for a class of continuous-time nonlinear systems with disturbance is investigated by a novel policy iteration reinforcement learning technique in which, the game model consists…

Systems and Control · Electrical Eng. & Systems 2019-07-29 Mohammad reza Satouri , Hamed Kebriaei , Abolhassan Razminia , Mohammad javad Yazdanpanah

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway
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