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In this work, we study the epidemic SIR model on a system which takes into consideration face-to-face interaction networks. This approach has been used as prototype to describe people interactions in different kinds of social organizations…

It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that…

Disordered Systems and Neural Networks · Physics 2010-09-09 Naoki Masuda

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

Probability · Mathematics 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

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

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

In most models of the spread of disease over contact networks it is assumed that the probabilities per unit time of disease transmission and recovery from disease are constant, implying exponential distributions of the time intervals for…

Physics and Society · Physics 2010-07-23 Brian Karrer , M. E. J. Newman

We propose a spreading model in multilayer networks and study the nature of nonequilibrium phase transition in the model. The model integrates the susceptible-infected-susceptible (or susceptible-infected-recovered) spreading dynamics with…

Physics and Society · Physics 2019-08-01 Ningbo An , Hanshuang Chen , Chuang Ma , Haifeng Zhang

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

Probability · Mathematics 2026-05-20 Eliana Fausti , Andreas Sojmark

The spread of disease through a physical-contact network and the spread of information about the disease on a communication network are two intimately related dynamical processes. We investigate the asymmetrical interplay between the two…

Physics and Society · Physics 2014-05-09 Wei Wang , Ming Tang , Hui Yang , Younghae Do , Ying-Cheng Lai , GyuWon Lee

The adoption of prophylaxis attitudes, such as social isolation and use of face masks, to mitigate epidemic outbreaks strongly depends on the support of the population. In this work, we investigate a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2022-10-05 Diogo H. Silva , Celia Anteneodo , Silvio C. Ferreira

When an epidemic spreads in a population, individuals may adaptively change the structure of their social contact network to reduce risk of infection. Here we study the spread of an epidemic on an adaptive network with community structure.…

Populations and Evolution · Quantitative Biology 2012-12-14 Ilker Tunc , Leah B. Shaw

In this work we study a modified Susceptible-Infected-Susceptible (SIS) model in which the infection rate $\lambda$ decays exponentially with the number of reinfections $n$, saturating after $n=l$. We find a critical decaying rate…

Physics and Society · Physics 2012-05-14 Nuno Crokidakis , Marcio Argollo de Menezes

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

The hypergraph offers a platform to study structural properties emerging from more complicated and higher-order than pairwise interactions among constituents and dynamical behavior such as the spread of information or disease. Recently, a…

Physics and Society · Physics 2020-01-01 Bukyoung Jhun , Minjae Jo , B. Kahng

Modeling long-range epidemic spreading in a random environment, we consider a quenched disordered, $d$-dimensional contact process with infection rates decaying with the distance as $1/r^{d+\sigma}$. We study the dynamical behavior of the…

Disordered Systems and Neural Networks · Physics 2015-04-02 R. Juhász , I. A. Kovács , F. Iglói

Recent research on social contagion processes has revealed the limitations of traditional networks, which capture only pairwise relationships, to characterize complex multiparty relationships and group influences properly. Social contagion…

Social and Information Networks · Computer Science 2024-08-19 Lidan Liang , Shaoxuan Cui , Fangzhou Liu

In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate $\delta$, cure rate $\gamma$, infection rate $\lambda$, $\alpha$ from the infectious disease, and death rate…

Populations and Evolution · Quantitative Biology 2013-02-14 Jingzhou Liu

We study the influence of heterogeneous mobility patterns in a population on the SIS epidemic model. In particular, we consider a patchy environment in which each patch comprises individuals belonging the different classes, e.g.,…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Vishal Abhishek , Vaibhav Srivastava

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

It is commonly believed that information spreads between individuals like a pathogen, with each exposure by an informed friend potentially resulting in a naive individual becoming infected. However, empirical studies of social media suggest…

Social and Information Networks · Computer Science 2014-03-24 Nathan O. Hodas , Kristina Lerman
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