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Vaccination is crucial for the control of epidemics. Yet it is a social dilemma since non-vaccinators can benefit from the herd immunity created by the vaccinators. Thus the optimum vaccination level is not reached via voluntary vaccination…

Populations and Evolution · Quantitative Biology 2019-02-06 Yuting Wei , Yaosen Lin , Bin Wu

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

A new method (`explosive immunization' (EI)) is proposed for immunization and targeted destruction of networks. It combines the explosive percolation (EP) paradigm with the idea of maintaining a fragmented distribution of clusters. The…

Physics and Society · Physics 2016-11-16 Pau Clusella , Peter Grassberger , Francisco J. Perez-Reche , Antonio Politi

Since the recent introduction of several viable vaccines for SARS-CoV-2, vaccination uptake has become the key factor that will determine our success in containing the COVID-19 pandemic. We argue that game theory and social network models…

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…

Social and Information Networks · Computer Science 2018-06-15 Zakariya Ghalmane , Mohammed El Hassouni , Hocine Cherifi

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

Considering the global pandemic of coronavirus disease 2019 (COVID-19), around the world several vaccines are being developed. Till now, these vaccines are the most effective way to reduce the high burden on the global health…

Physics and Society · Physics 2023-02-22 Dibyajyoti Mallick , Aniruddha Ray , Ankita Das , Sayantari Ghosh

Consider a random graph, having a pre-specified degree distribution F but other than that being uniformly distributed, describing the social structure (friendship) in a large community. Suppose one individual in the community is externally…

Probability · Mathematics 2007-05-23 Tom Britton , Svante Janson , Anders Martin-Lof

We consider the effect of inducement to vaccinate during the spread of an infectious disease on complex networks. Suppose that public resources are finite and that only a small proportion of individuals can be vaccinated freely (complete…

Physics and Society · Physics 2015-03-30 Hai-Feng Zhang , Pan-Pan Shu , Ming Tang , Michael Small

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…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

We propose a mathematical framework, based on conic geometric programming, to control a susceptible-infected-susceptible viral spreading process taking place in a directed contact network with unknown contact rates. We assume that we have…

Optimization and Control · Mathematics 2014-12-09 Shuo Han , Victor M. Preciado , Cameron Nowzari , George J. Pappas

This work presents a novel Model Predictive Control (MPC) approach to develop an optimal age-structured vaccination strategy for the containment of COVID-19 in Wallonia, Belgium. The proposed MPC framework is designed to minimize deaths,…

Optimization and Control · Mathematics 2026-02-17 Candy Sonveaux , Morgane Dumont , Mirko Fiacchini , Mohamad Ajami

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

Early on during a pandemic, vaccine availability is limited, requiring prioritisation of different population groups. Evaluating vaccine allocation is therefore a crucial element of pandemics response. In the present work, we develop a…

Effective strategies of vaccine prioritization are essential to mitigate the impacts of severe infectious diseases. We investigate the role of infection fatality ratio (IFR) and social contact matrices on vaccination prioritization using a…

Populations and Evolution · Quantitative Biology 2023-10-04 Arthur Schulenburg , Wesley Cota , Guilherme S. Costa , Silvio C. Ferreira

A new age-distributed immuno-epidemiological model with information-based vaccine uptake suggested in this work represents a system of integro-differential equations for the numbers of susceptible individuals, infected individuals,…

Populations and Evolution · Quantitative Biology 2024-04-02 Samiran Ghosh , Malay Banerjee , Vitaly Volpert

Many immunization strategies have been proposed to prevent infectious viruses from spreading through a network. In this study, we propose efficient immunization strategies to prevent a default contagion that might occur in a financial…

Risk Management · Quantitative Finance 2014-01-27 Teruyoshi Kobayashi , Kohei Hasui

The epidemic threshold of a social system is the ratio of infection and recovery rate above which a disease spreading in it becomes an epidemic. In the absence of pharmaceutical interventions (i.e. vaccines), the only way to control a given…

In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks,…

Physics and Society · Physics 2007-05-23 Rui Yang , Jie Ren , Wen-Jie Bai , Tao Zhou , Ming-Feng Zhang , Bing-Hong Wang

A persistent public health challenge is finding immunization schemes that are effective in combating highly mutable pathogens such as HIV and influenza viruses. To address this, we analyze a simplified model of affinity maturation, the…

Populations and Evolution · Quantitative Biology 2024-04-25 Saeed Mahdisoltani , Pranav Murugan , Arup K Chakraborty , Mehran Kardar
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