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The development and authorization of COVID-19 vaccines has provided the clearest path forward to eliminate community spread hence end the ongoing SARS-CoV-2 pandemic. However, the limited pace at which the vaccine can be administered…

Populations and Evolution · Quantitative Biology 2021-03-11 Glenn Young , Pengcheng Xiao , Kenneth Newcomb , Edwin Michael

Protecting interventions of many types (both pharmaceutical and non-pharmaceutical) can be deployed against the spreading of a communicable disease, as the worldwide COVID-19 pandemic has dramatically shown. Here we investigate in detail…

Physics and Society · Physics 2022-10-14 Romualdo Pastor-Satorras , Claudio Castellano

Background: Network-based interventions are most powerful against epidemics when the full network structure is known. However, resource constraints often require decisions based on partial network data. We investigated how the effectiveness…

Populations and Evolution · Quantitative Biology 2018-03-30 Yingrui Yang , Ashley McKhann , Guy Harling , Jukka-Pekka Onnela

In this work we analyze mathematically the consequences and effectiveness of strategies to control an epidemic in the framework of classical SEIR models with multiple parallel infectious stages. We define the mathematical concept of a…

Dynamical Systems · Mathematics 2023-08-17 Annibal Figueiredo , Tarcısio Marciano da Rocha Filho

In a world being hit by waves of COVID-19, vaccination is a light on the horizon. However, the roll-out of vaccination strategies and their influence on the pandemic are still open problems. In order to compare the effect of various…

Physics and Society · Physics 2021-04-23 N. L. Barreiro , C. I. Ventura , T. Govezensky , M. Núñez , P. G. Bolcatto , R. A. Barrio

We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

Populations and Evolution · Quantitative Biology 2020-06-09 Evangelos Magirou

Vaccination campaigns have saved thousands of lives, reaching the farthest places in the world. These campaigns have required substantial investments and accurate coordination between several actors within the vaccine supply chain. Despite…

In this paper, we investigate two major immunization strategies, random immunization and targeted immunization, of the susceptible-infected (SI) Model on the Barab\'{a}si-Albert (BA) networks. For the heterogenous structure, the random…

Biological Physics · Physics 2011-11-09 Wen-Jie Bai , Tao Zhou , Bing-Hong Wang

We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. We combine a game-theoretic model for the spread of WoM and a compartmental model describing $SIR$…

Populations and Evolution · Quantitative Biology 2015-03-03 Samit Bhattacharyya , Chris Bauch , Romulus Breban

In this study, we examine the perceived influence of others, across both strong and weak social ties, on COVID-19 vaccination decisions in the United States. We add context to social influence by measuring related concepts, such as…

Social and Information Networks · Computer Science 2024-06-03 Denise Yewell , R. Alexander Bentley , Benjamin D. Horne

The Covid-19 outbreak of 2020 has required many governments to develop and adopt mathematical-statistical models of the pandemic for policy and planning purposes. To this end, this work provides a tutorial on building a compartmental model…

Applications · Statistics 2023-09-13 Elizabeth B Amona , Ryad A Ghanam , Edward L Boone , Indranil Sahoo , Laith J Abu-Raddad

COVID-19 vaccines are highly efficacious at preventing symptomatic infection, severe disease, and death. Most of the evidence that COVID-19 vaccines also reduce transmission of SARS-CoV-2 is based on retrospective, observational studies.…

Applications · Statistics 2022-06-16 Marlena S. Bannick , Fei Gao , Elizabeth R. Brown , Holly E. Janes

A probabilistic approach to the epidemic evolution on realistic social-contact networks allows for characteristic differences among subjects, including the individual number and structure of social contacts, and the heterogeneity of the…

Social and Information Networks · Computer Science 2022-02-11 Jan B. Broekaert , Davide La Torre , Faizal Hafiz

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 investigate the distribution of numbers of secondary cases in households in the Office for National Statistics COVID-19 Infection Survey (ONS CIS), stratified by timing of vaccination and infection in the households. This shows a total…

Populations and Evolution · Quantitative Biology 2021-07-15 Thomas House , Lorenzo Pellis , Emma Pritchard , Angela R. McLean , A. Sarah Walker

Vaccinations are an important tool in the prevention of disease. Vaccinations are generally voluntary for each member of a population and vaccination decisions are influenced by individual risk perceptions and contact structures within…

Physics and Society · Physics 2025-04-07 Kausutua Tjikundi , Mark Broom

An insufficient supply of effective SARS-CoV-2 vaccine in most countries demands an effective vaccination strategy to minimize the damage caused by the disease. Currently, many countries vaccinate their population in descending order of age…

Physics and Society · Physics 2022-09-28 Bukyoung Jhun , Hoyun Choi

Seasonal influenza is a significant public health concern in the United States and globally. While influenza vaccines are the single most effective intervention to reduce influenza morbidity and mortality, there is considerable debate…

Populations and Evolution · Quantitative Biology 2015-01-07 Eric Mooring , Shweta Bansal

How does social distancing affect the reach of an epidemic in social networks? We present Monte Carlo simulation results of a capacity constrained Susceptible-Infected-Removed (SIR) model. The key modelling feature is that individuals are…

Populations and Evolution · Quantitative Biology 2021-03-08 Gregory Gutin , Tomohiro Hirano , Sung-Ha Hwang , Philip R. Neary , Alexis Akira Toda

We consider a SIR model with vaccination strategy on a sparse configuration model random graph. We show the convergence of the system when the number of nodes grows and characterize the scaling limits. Then, we prove the existence of…

Probability · Mathematics 2021-02-26 Emanuel Javier Ferreyra , Matthieu Jonckheere , Juan Pablo Pinasco
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