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Understanding how person-to-person contagious processes spread through a population requires accurate information on connections between population members. However, such connectivity data, when collected via interview, is often incomplete…

Physics and Society · Physics 2016-02-11 Guy Harling , Jukka-Pekka Onnela

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

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

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

Populations and Evolution · Quantitative Biology 2017-01-23 Frank Ball , Thomas House

A more connected world has brought major consequences such as facilitate the spread of diseases all over the world to quickly become epidemics, reason why researchers are concentrated in modeling the propagation of epidemics and outbreaks…

Physics and Society · Physics 2015-10-28 Lucila G. Alvarez Zuzek , Camila Buono , Lidia A. Braunstein

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

Using the continuous-time susceptible-infected-susceptible (SIS) model on networks, we investigate the problem of inferring the class of the underlying network when epidemic data is only available at population-level (i.e. the number of…

Populations and Evolution · Quantitative Biology 2019-12-05 F. Di Lauro , J. -C. Croix , M. Dashti , L. Berthouze , I. Z. Kiss

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2019-08-22 Akari Matsuki , Gouhei Tanaka

Vaccination is an important measure available for preventing or reducing the spread of infectious diseases. In this paper, an epidemic model including susceptible, infected, and imperfectly vaccinated compartments is studied on…

Physics and Society · Physics 2015-06-15 Xiao-Long Peng , Xin-Jian Xu , Xinchu Fu , Tao Zhou

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…

Optimization and Control · Mathematics 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

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 a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

Taking precautions before or during the start of a virus outbreak can heavily reduce the number of infected. The question which individuals should be immunized in order to mitigate the impact of the virus on the rest of population has…

Social and Information Networks · Computer Science 2013-03-06 V. V. Kashirin , L. J. Dijkstra

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

Methodology · Statistics 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

Vaccination and outbreak monitoring are essential tools for preventing and minimizing outbreaks of infectious diseases. Targeted strategies, where the individuals most important for monitoring or preventing outbreaks are selected for…

Physics and Society · Physics 2016-03-04 Enys Mones , Arkadiusz Stopczynski , Alex Pentland , Nathaniel Hupert , Sune Lehmann

We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

Biological Physics · Physics 2012-10-25 Frank Bauer , Joseph T. Lizier

To control infection spreading on networks, we investigate the effect of observer nodes that recognize infection in a neighboring node and make the rest of the neighbor nodes immune. We numerically show that random placement of observer…

Physics and Society · Physics 2014-07-15 Taro Takaguchi , Takehisa Hasegawa , Yuichi Yoshida

This work examines the discrete-time networked SIR (susceptible-infected-recovered) epidemic model, where the infection and recovery parameters may be time-varying. We provide a sufficient condition for the SIR model to converge to the set…

Systems and Control · Electrical Eng. & Systems 2021-03-01 Ciyuan Zhang , Humphrey Leung , Brooks Butler , Philip. E. Paré

One long-standing question in epidemiological research is how best to allocate limited amounts of vaccine or similar preventative measures in order to minimize the severity of an epidemic. Much of the literature on the problem of vaccine…

Social and Information Networks · Computer Science 2014-12-02 Krzysztof Drewniak , Joseph Helsing , Armin R. Mikler

A generalization of the standard susceptible-infectious-removed (SIR) stochastic model for epidemics in sparse random networks is introduced which incorporates contact tracing in addition to random screening. We propose a deterministic…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Ramon Huerta , Lev S. Tsimring
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