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Related papers: Modeling Epidemic Spread with Strategic Vaccinatio…

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Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

We introduce a multi-population mean field game framework to examine how economic status and authority perception shape vaccination and social distancing decisions under different epidemic control policies. We carried out a survey to inform…

Optimization and Control · Mathematics 2025-12-30 Huaning Liu , Junke Yang , Soren L. Larsen , Pamela P. Martinez , Gokce Dayanikli

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

We consider the spread of infectious diseases through a Mean Field Game version of a SIR compartmental model with social structure, in which individuals are grouped by their age class and interact together in different settings. In our game…

Physics and Society · Physics 2022-12-14 Louis Bremaud , Denis Ullmo

Heterogeneity of population is a key factor in modeling the transmission of disease among the population and has huge impact on the outcome of the transmission. In order to investigate the decision making process in the heterogeneous mixing…

Populations and Evolution · Quantitative Biology 2024-03-01 Fan Bai , Qianyu Chen , Yizhuo Xu

We introduce a new type of Mean Field Game epidemiological models, in which subpopulations have different behavioral patterns: some are viewed as "highly rational" (choosing Nash-equilibrium long-term strategies) while others follow…

Populations and Evolution · Quantitative Biology 2025-12-24 Finnegan Buckley , Alexander Vladimirsky

Opposition to vaccination has long been a non-negligible public health phenomenon resulted from people's varied perceptions toward vaccination (e.g., vaccine-phobia). This paper investigates the voluntary vaccination behavior of a…

Physics and Society · Physics 2019-09-04 Liqun Lu , Yanfeng Ouyang

Epidemiological models increasingly rely on self-reported behavioral data such as vaccination status, mask usage, and social distancing adherence to forecast disease transmission and assess the impact of non-pharmaceutical interventions…

Computer Science and Game Theory · Computer Science 2026-02-24 Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Bud Mishra , Naren Ramakrishnan

The spread of an epidemic disease and the population's collective behavioural response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has been overlooked in mathematical models, limiting their…

Dynamical Systems · Mathematics 2024-10-24 Kathinka Frieswijk , Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Ming Cao

We examine here the effects of recurrent vaccination and waning immunity on the establishment of an endemic equilibrium in a population. An individual-based model that incorporates memory effects for transmission rate during infection and…

Populations and Evolution · Quantitative Biology 2024-11-22 Félix Foutel-Rodier , Arthur Charpentier , Hélène Guérin

Vaccination is widely recognised as one of the most effective forms of public health interventions. Individuals decisions regarding vaccination creates a complex social dilemma between individual and collective interests, where each…

Dynamical Systems · Mathematics 2024-11-28 Nataliya A. Balabanova , Manh Hong Duong

The vaccination game is a social dilemma that refers to the conundrum individuals face (to get immunized or not) when the population is exposed to an infectious disease. The model has recently gained much traction due to the COVID-19…

Physics and Society · Physics 2023-02-24 Colin Benjamin , Arjun Krishnan U M

We study decentralized protection strategies against Susceptible-Infected-Susceptible (SIS) epidemics on networks. We consider a population game framework where nodes choose whether or not to vaccinate themselves, and the epidemic risk is…

Computer Science and Game Theory · Computer Science 2019-03-05 Ashish R. Hota , Shreyas Sundaram

The COVID-19 lockdowns have created a significant socioeconomic impact on our society. In this paper, we propose a population vaccination game framework, called EPROACH, to design policies for reopenings that guarantee post-opening public…

Computer Science and Game Theory · Computer Science 2021-10-14 Shutian Liu , Quanyan Zhu

We investigate an SIR model of epidemic propagation on networks in the context of mean-field games. In a real epidemic, individuals adjust their behavior depending on the epidemic level and the impact it might have on them in the future.…

Physics and Society · Physics 2025-01-27 Louis Bremaud , Olivier Giraud , Denis Ullmo

We review research papers which use game theory to model the decision making of individuals during an epidemic, attempting to classify the literature and identify the emerging trends in this field. We show that the literature can be…

Populations and Evolution · Quantitative Biology 2020-02-13 Sheryl L. Chang , Mahendra Piraveenan , Philippa Pattison , Mikhail Prokopenko

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

This paper is concerned with developing mean-field game models for the evolution of epidemics. Specifically, an agent's decision -- to be socially active in the midst of an epidemic -- is modeled as a mean-field game with health-related…

Optimization and Control · Mathematics 2021-11-23 S. Yagiz Olmez , Shubham Aggarwal , Jin Won Kim , Erik Miehling , Tamer Başar , Matthew West , Prashant G. Mehta

During epidemics people may reduce their social and economic activity to lower their risk of infection. Such social distancing strategies will depend on information about the course of the epidemic but also on when they expect the epidemic…

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

The spontaneous behavioral changes of the agents during an epidemic can have significant effects on the delay and the prevalence of its spread. In this work, we study a social distancing game among the agents of a population, who determine…

Physics and Society · Physics 2020-07-13 A. -R. Lagos , I. Kordonis , G. P. Papavassilopoulos
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