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Real-time vaccination following an outbreak can effectively mitigate the damage caused by an infectious disease. However, in many cases, available resources are insufficient to vaccinate the entire at-risk population, logistics result in…

种群与进化 · 定量生物学 2016-03-29 Chantal Nguyen , Jean M. Carlson

We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and…

最优化与控制 · 数学 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

社会与信息网络 · 计算机科学 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

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…

物理与社会 · 物理学 2023-11-14 Felippe Alves , David Saad

This paper is concerned with the analysis of vaccination strategies in a stochastic SIR (susceptible $\to$ infected $\to$ removed) model for the spread of an epidemic amongst a population of individuals with a random network of social…

物理与社会 · 物理学 2016-11-16 Frank Ball , David Sirl

This paper studies the problem of optimally allocating treatments in the presence of spillover effects, using information from a (quasi-)experiment. I introduce a method that maximizes the sample analog of average social welfare when…

计量经济学 · 经济学 2024-04-09 Davide Viviano

Developing robust, quantitative methods to optimize resource allocations in response to epidemics has the potential to save lives and minimize health care costs. In this paper, we develop and apply a computationally efficient algorithm that…

定量方法 · 定量生物学 2015-06-22 Edwin C. Yuan , David L. Alderson , Sean Stromberg , Jean M. Carlson

In this paper we consider SIR epidemics on random graphs with clustering. To incorporate group structure of the underlying social network, we use a generalized version of the configuration model in which each node is a member of a specified…

概率论 · 数学 2018-02-15 Carolina Fransson , Pieter Trapman

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

种群与进化 · 定量生物学 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

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…

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…

物理与社会 · 物理学 2025-04-07 Kausutua Tjikundi , Mark Broom

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

社会与信息网络 · 计算机科学 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

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…

最优化与控制 · 数学 2024-11-08 Nelson L. Santos Junior , João A. M. Gondim

As observed during the COVID-19 pandemic, high-income countries, such as the U.S., may exhibit vaccine nationalism during a pandemic: stockpiling doses of vaccine for their own citizens and being reluctant to distribute doses of the vaccine…

种群与进化 · 定量生物学 2024-08-21 Abraham Holleran , Susan E. Martonosi , Michael Veatch

Massive vaccination against pandemics such as Coronavirus SARS-CoV-2 presents several complexities. The criteria to assess public health policies are fundamental to distribute vaccines in an effective way in order to avoid as many…

最优化与控制 · 数学 2023-12-01 José Luis Sainz-Pardo , José Valero

Optimization of vaccine allocations among different segments of a heterogeneous population is important for enhancing the effectiveness of vaccination campaigns in reducing the burden of epidemics. Intuitively, it would seem that…

定量方法 · 定量生物学 2022-12-01 Nir Gavish , Guy Katriel

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…

种群与进化 · 定量生物学 2021-08-17 Evangelos F. Magirou

SIR models, also with age structure, can be used to describe the evolution of an infective disease. A vaccination campaign influences this dynamics immunizing part of the susceptible individuals, essentially turning them into recovered…

偏微分方程分析 · 数学 2019-10-17 Rinaldo M. Colombo , Mauro Garavello

Although community structure is ubiquitous in complex networks, few works exploit this topological property to control epidemics. In this work, devoted to networks with non-overlapping community structure (i.e, a node belongs to a single…

社会与信息网络 · 计算机科学 2018-06-15 Zakariya Ghalmane , Mohammed El Hassouni , Hocine Cherifi

Vaccination campaigns have both direct and indirect effects that act to control an infectious disease as it spreads through a population. Indirect effects arise when vaccinated individuals block disease transmission in any infection chains…

种群与进化 · 定量生物学 2024-05-08 Lixin Lin , Homayoun Hamedmoghadam , Robert Shorten , Lewi Stone
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