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We study the effect of vaccination on robustness of networks against propagating attacks that obey the susceptible-infected-removed model.By extending the generating function formalism developed by Newman (2005), we analytically determine…

Physics and Society · Physics 2011-09-27 Takehisa Hasegawa , Naoki Masuda

Preventing infectious disease like flu from spreading to large communities is one of the most important issues for humans. One effective strategy is voluntary vaccination, however, there is always the temptation for people refusing to be…

Populations and Evolution · Quantitative Biology 2017-04-07 Genki Ichinose , Takehiro Kurisaku

This article considers the minimization of the total number of infected individuals over the course of an epidemic in which the rate of infectious contacts can be reduced by time-dependent nonpharmaceutical interventions. The societal and…

Optimization and Control · Mathematics 2023-03-16 Tom Britton , Lasse Leskelä

How to strategically allocate the available vaccines is a crucial issue for pandemic control. In this work, we propose a mathematical framework for optimal stabilizing vaccine allocation, where our goal is to send the infections to zero as…

Optimization and Control · Mathematics 2021-09-13 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

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…

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

Physics and Society · Physics 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

Until now, design of the annual influenza vaccine has relied on phylogenetic or whole-sequence comparisons of the viral coat proteins hemagglutinin and neuraminidase, with vaccine effectiveness assumed to correlate monotonically to the…

Biomolecules · Quantitative Biology 2007-05-23 Enrique T. Munoz , Michael W. Deem

Safe and effective preventive vaccines have the potential to help stem the HIV epidemic. The efficacy of such vaccines is typically measured in randomized, double-blind phase IIb/III trials and described as a reduction in newly acquired HIV…

Methodology · Statistics 2024-10-10 Yutong Jin , Alex Luedtke , Zoe Moodie , Holly Janes , David Benkeser

The basic idea of many effective immunization strategies is first to rank the importance of vertices according to the degrees of vertices and then remove the vertices from highest importance to lowest until the network becomes disconnected.…

Physics and Society · Physics 2015-06-03 Ke Hu , Yi Tang

A linearization-based feedback-control strategy for a SEIR epidemic model is discussed. The vaccination objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously…

Dynamical Systems · Mathematics 2011-03-24 M. De la Sen , A. Ibeas , S. Alonso-Quesada

The vaccination against ongoing epidemics is seldom compulsory but remains one of the most classical means to fight epidemic propagation. However recent debates concerning the innocuity of vaccines and their risk with respect to the risk of…

Populations and Evolution · Quantitative Biology 2024-10-07 Laetitia Laguzet , Gabriel Turinici

Millions of young people are not immunized in low- and middle-income (LMI) countries because of low vaccine availability resulting from inefficiencies in cold supply chains. We create supply chain network design and distribution models to…

Applications · Statistics 2020-06-11 Zahra Azadi , Sandra D. Eksioglu , H. Neil Geismar

With the present highly infectious dominant SARS-CoV-2 strain of B1.1.529 or Omicron spreading around the globe, there is concern that the COVID-19 pandemic will not end soon and that it will be a race against time until a more contagious…

Populations and Evolution · Quantitative Biology 2022-04-26 Chottiwatt Jittprasong

The most frequent infectious diseases in humans - and those with the highest potential for rapid pandemic spread - are usually transmitted via droplets during close proximity interactions (CPIs). Despite the importance of this transmission…

We consider a mathematical model describing the propagation of an epidemic on a geographical network. The size of the outbreak is governed by the initial growth rate of the disease given by the maximal eigenvalue of the epidemic matrix…

Physics and Society · Physics 2024-06-06 Mohamad Badaoui , Jean-Guy Caputo , Gustavo Cruz-Pacheco , Arnaud Knippel

Vaccines play a crucial role in the prevention and control of infectious diseases. However, the vaccine supply chain faces numerous challenges that hinder its efficiency. To address these challenges and enhance public health outcomes, many…

Theoretical Economics · Economics 2025-10-07 Ran Gu , Enhui Ding , Shigui Ma

There are often multiple diseases with cross immunity competing for vaccination resources. Here we investigate the optimal vaccination program in a two-layer Susceptible-Infected-Removed (SIR) model, where two diseases with cross immunity…

Populations and Evolution · Quantitative Biology 2021-05-26 Yang Ye , Qingpeng Zhang , Zhidong Cao , Daniel Dajun Zeng

How to allocate vaccines over heterogeneous individuals is one of the important policy decisions in pandemic times. This paper develops a procedure to estimate an individualized vaccine allocation policy under limited supply, exploiting…

Econometrics · Economics 2021-10-25 Toru Kitagawa , Guanyi Wang

Governments across the world are currently facing the task of selecting suitable intervention strategies to cope with the effects of the COVID-19 pandemic. This is a highly challenging task, since harsh measures may result in economic…

Optimization and Control · Mathematics 2021-01-19 Andreas Kasis , Stelios Timotheou , Nima Monshizadeh , Marios Polycarpou

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