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Related papers: epidemic dynamics and adaptive vaccination strateg…

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Vaccination is essential for the management of infectious diseases, many of which continue to pose devastating public health and economic challenges across the world. However, many vaccines are imperfect having only a partial protective…

Populations and Evolution · Quantitative Biology 2022-08-04 Hetsron L. Nyandjo-Bamen , Jean Marie Ntaganda , Aurelien Tellier , Olivier Menoukeu-Pamen

This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information…

Quantitative Methods · Quantitative Biology 2018-05-14 G. O. Agaba , Y. N. Kyrychko , K. B. Blyuss

In the face of serious infectious diseases, governments endeavour to implement containment measures such as public vaccination at a macroscopic level. Meanwhile, individuals tend to protect themselves by avoiding contacts with infections at…

Physics and Society · Physics 2016-10-20 Xiao-Long Peng , Xin-Jian Xu , Michael Small , Xinchu Fu , Zhen Jin

Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. Recent mathematical models are aimed at studying dynamics of some specific types of infectious diseases. In…

Dynamical Systems · Mathematics 2015-02-05 P. Raja Sekhara Rao , M. Naresh Kumar

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

The spread of infectious disease is strongly influenced by social dynamics. In addition to infection risk, individuals vaccination decisions depend on prevailing social behavior: high infection levels and widespread vaccination can increase…

Populations and Evolution · Quantitative Biology 2026-04-17 Xinxuan Wang , Youngmin Park , Bryce Morsky

In this paper, we analyze the temporal evolution of the age-dependent force of infection and incidence of rubella, after the introduction of a very specific vaccination programme in a previously nonvaccinated population where rubella was in…

Other Quantitative Biology · Quantitative Biology 2009-06-05 M. Amaku , F. A. B. Coutinho , R. S. Azevedo , M. N. Burattini , L. F. Lopez , E. Massad

We investigate how a population's natural and vaccine immunity affects the competitive balance between two strains of an infectious disease with different epidemiological characteristics. Specifically, we consider the case where one strain…

Dynamical Systems · Mathematics 2023-12-27 Matthew D. Johnston , Bruce Pell , Jared Pemberton , David A. Rubel

We interpret attitudes towards science and pseudosciences as cultural traits that diffuse in society through communication efforts exerted by agents. We present a tractable model that allows us to study the interaction among the diffusion…

Populations and Evolution · Quantitative Biology 2021-06-14 Matteo Bizzarri , Fabrizio Panebianco , Paolo Pin

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

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which the decisions of a population of strategically interacting agents determine the transmission rate. Specifically, the…

Dynamical Systems · Mathematics 2022-01-26 Nuno C. Martins , Jair Certorio , Richard J. La

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

This research investigates the coupled dynamics of behavior and infectious disease using a mathematical model. We integrate a two-state q-voter opinion process with SIS-type infection dynamics, where transmission rates are influenced by the…

Physics and Society · Physics 2025-12-13 Thomas Goetz , Tyll Krueger , Karol Niedzielewski , Jan Schneider , Barbara Pabjan

This paper uses new and existing methods to study collective trends across countries throughout the pandemic, with a focus on the multivariate time series of reproduction numbers and vaccine proliferation. We begin with a time-varying…

Physics and Society · Physics 2023-10-16 Nick James , Max Menzies

Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand disease…

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

When an infectious disease propagates throughout society, the incidence function may rise at first due to an increase in pathogenicity and then decrease due to inhibitory effects until it reaches saturation. Effective vaccination and…

Dynamical Systems · Mathematics 2023-07-11 Sushil Pathak , G. Shirisha , K. Venkata Ratnam

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

This study presents a seasonally forced cholera model that incorporates imperfect vaccination as a control strategy. The model captures the temporal dynamics of susceptible, vaccinated, infected, and recovered individuals, as well as the…

Populations and Evolution · Quantitative Biology 2025-07-15 Eric Herrison Gyamfi

We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations formulated in terms of an optimal escape path. We find that different random vaccination strategies can have widely…

Biological Physics · Physics 2007-11-12 Alexandra S. Landsman , Ira B. Schwartz
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