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This is an epidemiological SIRV model based study that is designed to analyze the impact of vaccination in containing infection spread, in a 4-tiered population compartment comprised of susceptible, infected, recovered and vaccinated…

Populations and Evolution · Quantitative Biology 2018-11-14 Ewa Grela , Michael Stich , Amit K Chattopadhyay

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

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how disease spread is influenced by changing opinions…

Dynamical Systems · Mathematics 2024-08-16 Yi Jiang , Kristin M. Kurianski , Jane HyoJin Lee , Yanping Ma , Daniel Cicala , Glenn Ledder

The success of a vaccination program is crucially dependent on its adoption by a critical fraction of the population, as the resulting herd immunity prevents future outbreaks of an epidemic. However, the effectiveness of a campaign can…

Physics and Society · Physics 2019-07-02 Anupama Sharma , Shakti N. Menon , V. Sasidevan , Sitabhra Sinha

The waning of immunity after recovery or vaccination is a major factor accounting for the severity and prolonged duration of an array of epidemics, ranging from COVID-19 to diphtheria and pertussis. To study the effectiveness of different…

Dynamical Systems · Mathematics 2023-02-01 Shoshana Elgart

In this study, we present an immuno-epidemic model to understand mitigation options during an epidemic break. The model incorporates comorbidity and multiple-vaccine doses through a system of coupled integro-differential equations to…

Populations and Evolution · Quantitative Biology 2025-05-28 Samiran Ghosh , Malay Banerjee , Amit K Chattopadhyay

We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and…

Optimization and Control · Mathematics 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

The potential waning of the vaccination immunity to COVID-19 could pose threats to public health, as it is tenable that the timing of such waning would synchronize with the near-complete restoration of normalcy. Should also testing be…

Populations and Evolution · Quantitative Biology 2022-01-28 Agnieszka Truszkowska , Lorenzo Zino , Sachit Butail , Emanuele Caroppo , Zhong-Ping Jiang , Alessandro Rizzo , Maurizio Porfiri

In this work we study the stability properties of the equilibrium points of deterministic epidemic models with nonconstant population size. Models with nonconstant population have been studied in the past only in particular cases, two of…

Optimization and Control · Mathematics 2022-02-25 Florin Avram , Rim Adenane , Lasko Basnarkov , Gianluca Bianchin , Dan Goreac , Andrei Halanay

Most vaccines require multiple doses, the first to induce recognition and antibody production and subsequent doses to boost the primary response and achieve optimal protection. We show that properly prioritizing the administration of first…

How to strategically allocate the available vaccines is a crucial issue for pandemic control. In this work, we propose a mathematical framework for optimal stabilizing vaccine allocation, where our goal is to send the infections to zero as…

Optimization and Control · Mathematics 2021-09-13 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

One long-standing question in epidemiological research is how best to allocate limited amounts of vaccine or similar preventative measures in order to minimize the severity of an epidemic. Much of the literature on the problem of vaccine…

Social and Information Networks · Computer Science 2014-12-02 Krzysztof Drewniak , Joseph Helsing , Armin R. Mikler

We study a game-theoretic model of epidemic control in a large population with finitely many groups and non-cooperative individuals. In the model, individuals jointly choose their socialization levels and vaccination rates, and vaccination…

Optimization and Control · Mathematics 2026-04-28 Huaning Liu , Gokce Dayanikli

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

Herd immunity is shaped not only by the infection capacity of a spreading epidemic or the contact structure of the hosting population, but also by how and under what circumstances individuals acquire immunity. Immunization strategies may…

Physics and Society · Physics 2026-02-20 Sámuel G. Balogh , Gergely Ódor , Márton Karsai

We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations. We show that, in the absence of vaccinations, the effective entropic barrier for extinction displays scaling with the…

Biological Physics · Physics 2009-11-13 Mark Dykman , Ira B. Schwartz , Alexandra S. Landsman

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

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

We analyze equilibrium behavior and optimal policy within a Susceptible-Infected-Recovered epidemic model augmented with potentially undiagnosed agents who infer their health status and a social planner with imperfect enforcement of social…

Theoretical Economics · Economics 2022-11-01 Thomas Phelan , Alexis Akira Toda