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The pursuit of strategies that minimize the number of individuals needing vaccination to control an outbreak is a well-established area of study in mathematical epidemiology. However, for certain diseases, public policy tends to prioritize…

Populations and Evolution · Quantitative Biology 2026-01-30 J. Orestes Cerdeira , Fabio A. C. C. Chalub , Matheus Hansen

We study a game-theoretic model of epidemic control in a large population with finitely many groups and non-cooperative individuals. In the model, individuals jointly choose their socialization levels and vaccination rates, and vaccination…

Optimization and Control · Mathematics 2026-04-28 Huaning Liu , Gokce Dayanikli

Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide an exact result showing that a scale-free connectivity distribution with diverging second moment is a sufficient condition…

Statistical Mechanics · Physics 2009-11-07 Marian Boguna , Romualdo Pastor-Satorras , Alessandro Vespignani

Epidemiological contact network models have emerged as an important tool in understanding and predicting the spread of infectious disease, due to their capacity to engage individual heterogeneity that may underlie essential dynamics of a…

Physics and Society · Physics 2019-10-28 Jack Leitch , Kathleen A. Alexander , Srijan Sengupta

Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epidemic model based on network theory for the spread of…

Populations and Evolution · Quantitative Biology 2025-01-14 Yutaka Okabe , Akira Shudo

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 develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how disease spread is influenced by changing opinions…

Dynamical Systems · Mathematics 2024-08-16 Yi Jiang , Kristin M. Kurianski , Jane HyoJin Lee , Yanping Ma , Daniel Cicala , Glenn Ledder

Infection can spread easily on networks with heterogeneous degree distribution. Here, we considered targeted immunization on such networks, wherein a fraction of individuals with the highest connectivity are immunized. To quantify the…

Physics and Society · Physics 2021-11-05 Satoru Morita

This paper deals with the long-term behaviour and incidence of a vaccine-preventable contact disease, under the assumption that both vaccine protection and immunity after recovery are not lifelong. The mathematical model is developed in a…

Populations and Evolution · Quantitative Biology 2024-12-11 María Jesús Lopez-Herrero , Diana Taipe

Consider the causal effect that one individual's treatment may have on another individual's outcome when the outcome is contagious, with specific application to the effect of vaccination on an infectious disease outcome. The effect of one…

Methodology · Statistics 2014-03-06 Elizabeth L. Ogburn , Tyler J. VanderWeele

The spread of disease on complex networks has attracted widely attention in the physics community. Recent works have demonstrated that heterogeneous degree and weight distributions have a significant influence on the epidemic dynamics. In…

Physics and Society · Physics 2015-06-22 Wei Wang , Ming Tang , Hai-Feng Zhang , Hui Gao , Younghae Do , Zong-Hua Liu

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Spreading dynamics of information and diseases are usually analyzed by using a unified framework and analogous models. In this paper, we propose a model to emphasize the essential difference between information spreading and epidemic…

Physics and Society · Physics 2015-05-28 Linyuan Lü , Duan-Bing Chen , Tao Zhou

Real epidemic spreading networks often composed of several kinds of networks interconnected with each other, and the interrelated networks have the different topologies and epidemic dynamics. Moreover, most human diseases are derived from…

Physics and Society · Physics 2017-06-21 Zhongpu Xu , Xinchu Fu

Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by…

Social and Information Networks · Computer Science 2020-07-30 Anirban Dasgupta , Srijan Sengupta

The Watts-Strogatz algorithm transferring a regular lattice to the small world network is modified by introducing preferential rewiring constrained by connectivity demand. The probability to link to/ unlink form a node is dependent on a…

Materials Science · Physics 2007-05-23 Danuta Makowiec

Infectious disease remains, despite centuries of work to control and mitigate its effects, a major problem facing humanity. This paper reviews the mathematical modelling of infectious disease epidemics on networks, starting from the…

Popular Physics · Physics 2015-06-03 Thomas House

We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Yan , Tao Zhou , Jie Wang , Zhongqian Fu , Binghong Wang

We review research papers which use game theory to model the decision making of individuals during an epidemic, attempting to classify the literature and identify the emerging trends in this field. We show that the literature can be…

Populations and Evolution · Quantitative Biology 2020-02-13 Sheryl L. Chang , Mahendra Piraveenan , Philippa Pattison , Mikhail Prokopenko

The containment of epidemic spreading is a major challenge in science. Vaccination, whenever available, is the best way to prevent the spreading, because it eventually immunizes individuals. However, vaccines are not perfect, and total…

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