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Voluntary vaccination is effective to prevent infectious diseases from spreading. Both vaccination behavior and cognition of the vaccination risk play important roles in individual vaccination decision making. However, it is not clear how…

Dynamical Systems · Mathematics 2022-09-21 Yuan Liu , Bin Wu

The Susceptible-Infected-Susceptible (SIS) model is a widely used model for the spread of information and infectious diseases, particularly non-immunizing ones, on a graph. Given a highly contagious disease, a natural question is how to…

Machine Learning · Computer Science 2025-06-19 Sepehr Elahi , Paula Mürmann , Patrick Thiran

We consider the spread of a supercritical stochastic SIR (Susceptible, Infectious, Recovered) epidemic on a configuration model random graph. We mainly focus on the final stages of a large outbreak and provide limit results for the duration…

Probability · Mathematics 2020-02-26 Abid Ali Lashari , Ana Serafimović , Pieter Trapman

Random networks with specified degree distributions have been proposed as realistic models of population structure, yet the problem of dynamically modeling SIR-type epidemics in random networks remains complex. I resolve this dilemma by…

Populations and Evolution · Quantitative Biology 2007-05-23 Erik Volz

Social network analysis is now widely used to investigate the dynamics of infectious disease spread from person to person. Vaccination dramatically disrupts the disease transmission process on a contact network, and indeed, sufficiently…

Physics and Society · Physics 2012-11-05 Ellsworth Campbell , Marcel Salathé

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…

Analysis of PDEs · Mathematics 2019-10-17 Rinaldo M. Colombo , Mauro Garavello

Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

This work consists of an epidemic model with vaccination coupled with an opinion dynamics. Our objective was to study how disease risk perception can influence opinions about vaccination and therefore the spreading of the disease.…

Physics and Society · Physics 2019-11-20 Marcelo A. Pires , André L. Oestereich , Nuno Crokidakis

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

We consider the problem of distributing a vaccine for immunizing a scale-free network against a given virus or worm. We introduce a new method, based on vaccine dissemination, that seems to reflect more accurately what is expected to occur…

Networking and Internet Architecture · Computer Science 2007-05-23 Alexandre O. Stauffer , Valmir C. Barbosa

Recently, hypergraphs have attracted considerable interest from the research community as a generalization of networks capable of encoding higher-order interactions, which commonly appear in both natural and social systems. Epidemic…

Physics and Society · Physics 2022-01-03 Bukyoung Jhun

The effectiveness of vaccination highly depends on the choice of individuals to vaccinate, even if the same number of individuals are vaccinated. Vaccinating individuals with high centrality measures such as betweenness centrality (BC) and…

Physics and Society · Physics 2021-12-30 Bukyoung Jhun

We implemented a dynamic agent-based network model to simulate the spread of mpox in a United States-based MSM population. This model allowed us to implement data-informed dynamic network evolution to simulate realistic disease spreading…

Applications · Statistics 2025-05-12 Emma G. Crenshaw , Jukka-Pekka Onnela

In the context of the ongoing Ebola epidemic in DRC, active conflict and community distrust are undermining control efforts, including vaccination strategies. In this paper, we employed an individual-level stochastic structured transmission…

Quantitative Methods · Quantitative Biology 2019-08-26 G. Chowell , A. Tariq , M. Kiskowski

Optimal strategies for epidemic containment are focused on dismantling the contact network through effective immunization with minimal costs. However, network fragmentation is seldom accessible in practice and may present extreme side…

Physics and Society · Physics 2020-02-26 Guilherme S. Costa , Silvio C. Ferreira

We introduce an immunization method where the percentage of required vaccinations for immunity are close to the optimal value of a targeted immunization scheme of highest degree nodes. Our strategy retains the advantage of being purely…

Physics and Society · Physics 2009-11-13 Lazaros K. Gallos , Fredrik Liljeros , Panos Argyrakis , Armin Bunde , Shlomo Havlin

The metapopulation network model is effectively used to study the spatial spread of epidemics with individuals mobility. Considering the time-varying nature of individual activity and the preferences for attractive destinations in…

Physics and Society · Physics 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

In the Dynamic Resource Allocation (DRA) problem, an administrator has to allocate a limited amount of resources to the nodes of a network in order to reduce a diffusion process (DP) (e.g. an epidemic). In this paper we propose a…

Social and Information Networks · Computer Science 2020-06-15 Mathilde Fekom , Nicolas Vayatis , Argyris Kalogeratos

We use mobile device data to construct empirical interpersonal physical contact networks in the city of Portland, Oregon, both before and after social distancing measures were enacted during the COVID-19 pandemic. These networks reveal how…

Physics and Society · Physics 2021-12-17 Gavin S. Hartnett , Edward Parker , Timothy R. Gulden , Raffaele Vardavas , David Kravitz

The decision of whether or not to vaccinate is a complex one. It involves the contribution both to a social good -- herd immunity -- and to one's own well being. It is informed by social influence, personal experience, education, and mass…

Populations and Evolution · Quantitative Biology 2022-02-15 Soya Miyoshi , Marko Jusup , Petter Holme
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