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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

The outbreak of mutant strains and vaccination behaviors have been the focus of recent epidemiological research, but most existing epidemic models failed to simultaneously capture viral mutation and consider the complexity and behavioral…

Populations and Evolution · Quantitative Biology 2026-01-16 Wenjie Zhang , Yusheng Li , Qin Li , Guojun Huang , Minyu Feng

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…

Given limited supply of approved vaccines and constrained medical resources, design of a vaccination strategy to control a pandemic is an economic problem. We use time-series and panel methods with real-world country-level data to estimate…

General Economics · Economics 2022-01-19 Dongwoo Kim , Young Jun Lee

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

The impact of information dissemination on epidemic control is essentially subject to individual behaviors. Unlike information-driven behaviors, vaccination is determined by many cost-related factors, whose correlation with the information…

Physics and Society · Physics 2019-04-03 Xiao-Jie Li , Cong Li , Xiang Li

We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to…

Analysis of PDEs · Mathematics 2024-07-23 Rinaldo M. Colombo , Mauro Garavello

This study assesses the impact of COVID-19 vaccines through an epidemiological model that quantifies their role in pandemic control. We analyze an SIR-based model incorporating vaccination effects and calculate the basic reproduction…

Dynamical Systems · Mathematics 2025-07-29 Tesfalem Abate Tegegn , Yibeltal Adane Terefe

Network-based epidemic models have been extensively employed to understand the spread of infectious diseases, but have generally overlooked the fact that most realistic networks are dynamical rather than static. In this paper, we study a…

Physics and Society · Physics 2019-02-19 Xiao-Long Peng , Ze-Qiong Zhang , Junyuan Yang , Zhen Jin

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

Until the mid 1960s, the UK experienced regular measles epidemics, with the vast majority of children being infected in early childhood. The introduction of a measles vaccine substantially reduced its incidence. The first part of this paper…

General Economics · Economics 2023-01-26 Gerard J. van den Berg , Stephanie von Hinke , Nicolai Vitt

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

In this paper we introduce a compartmental epidemic model describing the transmission of the COVID-19 disease in presence of non-mandatory vaccination. The model takes into account the hesitancy and refusal of vaccination. To this aim, we…

Populations and Evolution · Quantitative Biology 2021-06-23 Bruno Buonomo , Rossella Della Marca , Alberto d'Onofrio , Maria Groppi

One of the most important tools available to limit the spread and impact of infectious diseases is vaccination. It is therefore important to understand what factors determine people's vaccination decisions. To this end, previous behavioural…

We present a series of SIR-network models, extended with a game-theoretic treatment of imitation dynamics which result from regular population mobility across residential and work areas and the ensuing interactions. Each considered…

Populations and Evolution · Quantitative Biology 2019-11-14 Sheryl L. Chang , Mahendra Piraveenan , Mikhail Prokopenko

Social network analysis is now widely used to investigate the dynamics of infectious disease spread from person to person. Vaccination dramatically disrupts the disease transmission process on a contact network, and indeed, sufficiently…

Physics and Society · Physics 2012-11-05 Ellsworth Campbell , Marcel Salathé

There is great interest in the dynamics of health behaviors in social networks and how they affect collective public health outcomes, but measuring population health behaviors over time and space requires substantial resources. Here, we use…

Social and Information Networks · Computer Science 2015-05-28 Marcel Salathé , Shashank Khandelwal

Recently developed vaccines provide a new way of controlling rotavirus in sub-Saharan Africa. Models for the transmission dynamics of rotavirus are critical both for estimating current burden from imperfect surveillance and for assessing…

Applications · Statistics 2017-05-09 Jaewoo Park , Joshua Goldstein , Murali Haran , Matthew Ferrari

In vaccine studies for infectious diseases such as human immunodeficiency virus (HIV), the frequency and type of contacts between study participants and infectious sources are among the most informative risk factors, but are often not…

Applications · Statistics 2012-08-27 Yang Yang , Peter Gilbert , Ira M. Longini, , M. Elizabeth Halloran

We study the impact of vaccination on the risk of epidemics spreading through structured networks using the cavity method of statistical physics. We relax the assumption that vaccination prevents all transmission of a disease used in…

Physics and Society · Physics 2022-03-23 Christian John Hurry , Alexander Mozeika , Alessia Annibale
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