English
Related papers

Related papers: Quantifying indirect and direct vaccination effect…

200 papers

Randomized trials of infectious disease interventions, such as vaccines, often focus on groups of connected or potentially interacting individuals. When the pathogen of interest is transmissible between study subjects, interference may…

Applications · Statistics 2019-12-10 Daniel J. Eck , Olga Morozova , Forrest W. Crawford

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 analyze the susceptible-infected-susceptible model for epidemic spreading in which a fraction of the individuals become immune by vaccination. This process is understood as a dilution by vaccination, which decreases the fraction of the…

Populations and Evolution · Quantitative Biology 2021-11-10 Tânia Tomé , Mário J. de Oliveira

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 aims to statistically assess the effectiveness of vaccination against SARS-CoV-2. It is indispensable to investigate the relationship between Covid-19 deadliness and vaccination in order to study the impact of vaccine in…

Quantitative Methods · Quantitative Biology 2022-02-04 MD. Rayhan , M. Abdullah-Al-Wadud , M. Helal Uddin Ahmed

We analyze an optimal control version of a simple SIR epidemiology model that includes a partially specified vaccination policy and takes into account fatigue from protracted application of social distancing measures. The model assumes…

Populations and Evolution · Quantitative Biology 2021-08-17 Evangelos F. Magirou

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

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

This study compared the effectiveness of COVID-19 control policies, including wearing masks, and the vaccine rates through proportional infection rate in 28 states of the United States using the eSIR model. The effective rate of policies…

Applications · Statistics 2023-01-16 Yile He

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

Polarization of opinions about vaccination can have a negative impact on pandemic control. In this work we quantify this negative impact for the transmission of COVID-19, using an agent based simulation in an heterogeneous population with…

Physics and Society · Physics 2022-06-02 Ixandra Achitouv

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

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

We study vaccine budget-sharing strategies in the SIR (Susceptible-Infected-Recovered) model given a structured community network to investigate the benefit of sharing vaccine across communities. The network studied comprises two…

Physics and Society · Physics 2023-11-14 Felippe Alves , David Saad

In this paper, we study the optimal control for an SEIR model adapted to the vaccination strategy of susceptible individuals. There are factors associated with a vaccination campaign that make this strategy not only a public health issue…

Optimization and Control · Mathematics 2024-11-08 Nelson L. Santos Junior , João A. M. Gondim

Often, vaccination programs are carried out based on self-interest rather than being mandatory. Owing to the perceptions about risks associated with vaccines and the `herd immunity' effect, it may provide suboptimal vaccination coverage for…

Physics and Society · Physics 2012-07-20 Hai-Feng Zhang , Zhi-Xi Wu , Xiao-Ke Xu , Michael Small , Bing-Hong Wang

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

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

Populations and Evolution · Quantitative Biology 2020-12-24 Elisa Franco

In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we…

Populations and Evolution · Quantitative Biology 2025-10-27 Javier López-de-la-Cruz , Susana Merchán , Felipe Rivero , Javier Rodrigo

Facing a global epidemic of new infectious diseases such as COVID-19, non-pharmaceutical interventions (NPIs), which reduce transmission rates without medical actions, are being implemented around the world to mitigate spreads. One of the…

Populations and Evolution · Quantitative Biology 2021-03-04 Naoya Fujiwara , Tomokatsu Onaga , Takayuki Wada , Shouhei Takeuchi , Junji Seto , Tomoki Nakaya , Kazuyuki Aihara