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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

We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard…

Physics and Society · Physics 2020-06-22 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Claudio Castellano

Epidemics have shaped human history, often with devastating consequences, motivating the development of mathematical models to understand and control their dynamics. Among the many aspects of epidemic behavior, the conditions that lead to…

Populations and Evolution · Quantitative Biology 2026-05-01 Germano Hartmann Brill , Pablo Enrique Jurado Silvestrin , Sebastian Gonçalves

In this work we consider a model of epidemic spreading coupled with an opinion dynamics in a fully-connected population. Regarding the opinion dynamics, the individuals may be in two distinct states, namely in favor or against a vaccination…

Physics and Society · Physics 2016-10-28 Marcelo A. Pires , Nuno Crokidakis

This work consists of an epidemic model with vaccination coupled with an opinion dynamics. Our objective was to study how disease risk perception can influence opinions about vaccination and therefore the spreading of the disease.…

Physics and Society · Physics 2019-11-20 Marcelo A. Pires , André L. Oestereich , Nuno Crokidakis

This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total…

Dynamical Systems · Mathematics 2011-03-28 M. De la Sen , A. Ibeas , S. Alonso-Quesada

SIRS epidemic models assume that individual immunity (from infection and vaccination) wanes in one big leap, from complete immunity to complete susceptibility. For many diseases immunity on the contrary wanes gradually, something that's…

Populations and Evolution · Quantitative Biology 2022-11-17 Mohamed El Khalifi , Tom Britton

We consider optimal vaccination protocol where the vaccine is in short supply. In this case, disease extinction results from a large and rare fluctuation. We show that the probability of such fluctuation can be exponentially increased by…

Populations and Evolution · Quantitative Biology 2013-05-29 M. Khasin , M. I. Dykman , B. Meerson

The propagation of model epidemics on a small-world network under the action of immunization is studied. Although the connectivity in this kind of networks is rather uniform, a vaccination strategy focused on the best connected individuals…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette , Marcelo Kuperman

How to prevent the spread of human diseases is a great challenge for the scientific community and so far there are many studies in which immunization strategies have been developed. However, these kind of strategies usually do not consider…

Physics and Society · Physics 2018-08-22 M. A. Di Muro , L. G. Alvarez-Zuzek , S. Havlin , L. A. Braunstein

This paper presents a vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for…

Dynamical Systems · Mathematics 2011-03-28 M. De la Sen , A. Ibeas , S. Alonso-Quesada

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

We analyze infection spreading processes in a system where only a fraction $p$ of individuals can be affected by disease, while remaining $1-p$ individuals are immune. Such a picture can emerge as a natural consequence of previously…

Disordered Systems and Neural Networks · Physics 2021-12-06 V. Blavatska , Yu. Holovatch

We study a susceptible-vaccinated--infected--recovered (SVIR) epidemic-spreading model with diversity of infection rate of the individuals. By means of analytical arguments as well as extensive computer simulations, we demonstrate that the…

Physics and Society · Physics 2013-12-05 Chao-Ran Cai , Zhi-Xi wu , Jian-Yue Guan

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

Although previous infection and vaccination provide protection against SARS-CoV-2 infection, both reinfection and breakthrough infection are possible events whose occurrence would increase with time after first exposure to the antigen and…

Populations and Evolution · Quantitative Biology 2022-06-07 Ariel Félix Gualtieri , Carolina de la Cal , Augusto Francisco Toma , Pedro Hecht

When the body gets infected by a pathogen or receives a vaccine dose, the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recovery/vaccination the host might become susceptible again.…

Populations and Evolution · Quantitative Biology 2015-01-15 Maria Vittoria Barbarossa , Gergely Röst

Despite high vaccine coverage, pertussis has re-emerged as a public health concern in many countries. One hypothesis posed for re-emergence is the waning of immunity. In some disease systems, the process of waning immunity can be…

Populations and Evolution · Quantitative Biology 2017-08-10 Tiffany Leung , Barry D Hughes , Federico Frascoli , Patricia T Campbell , James M McCaw

The spreading of infectious diseases with and without immunization of individuals can be modeled by stochastic processes that exhibit a transition between an active phase of epidemic spreading and an absorbing phase, where the disease dies…

Statistical Mechanics · Physics 2009-11-10 Stephan M. Dammer , Haye Hinrichsen

We study the changes of opinions about vaccination together with the evolution of a disease. In our model we consider a multiplex network consisting of two layers. One of the layers corresponds to a social network where people share their…

Physics and Society · Physics 2017-12-01 L. G. Alvarez-Zuzek , Cristian E. La Rocca , J. R. Iglesias , L. A. Braunstein
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