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Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

Populations and Evolution · Quantitative Biology 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

We consider SIS contagion processes over networks where, a classical assumption is that individuals' decisions to adopt a contagion are based on their immediate neighbors. However, recent literature shows that some attributes are more…

Social and Information Networks · Computer Science 2018-10-16 Buddhika Nettasinghe , Vikram Krishnamurthy , Kristina Lerman

A great deal of effort has gone into trying to model social influence --- including the spread of behavior, norms, and ideas --- on networks. Most models of social influence tend to assume that individuals react to changes in the states of…

Physics and Society · Physics 2018-04-04 Se-Wook Oh , Mason A. Porter

The dynamics of network social contagion processes such as opinion formation and epidemic spreading are often mediated by interactions between multiple nodes. Previous results have shown that these higher-order interactions can profoundly…

Physics and Society · Physics 2021-12-07 Nicholas Landry , Juan G. Restrepo

In this paper we study the diffusion of an SIS-type epidemics on a network under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form…

Probability · Mathematics 2016-07-25 Stefano Bonaccorsi , Stefania Ottaviano

We study convergence properties of competing epidemic models of the Susceptible-Infected-Susceptible (SIS) type. The SIS epidemic model has seen widespread popularity in modelling the spreading dynamics of contagions such as viruses,…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Vishwaraj Doshi , Shailaja Mallick , Do Young eun

Motivated by epidemics such as COVID-19, we study the spread of a contagious disease when behavior responds to the disease's prevalence. We extend the SIR epidemiological model to include endogenous meeting rates. Individuals benefit from…

Populations and Evolution · Quantitative Biology 2023-09-25 Krishna Dasaratha

Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behaviour of a given epidemic or information diffusion process. A common approach to imbue more…

Dynamical Systems · Mathematics 2025-11-18 Eugene Tan , Michael Small , Shannon D. Algar

For a susceptible-infectious-susceptible (SIS) infection model in a heterogeneous population, we present simple formulae giving the leading-order asymptotic (large population) behaviour of the mean persistence time, from an endemic state to…

Probability · Mathematics 2017-07-12 Damian Clancy

Empirical temporal networks display strong heterogeneities in their dynamics, which profoundly affect processes taking place on these networks, such as rumor and epidemic spreading. Despite the recent wealth of data on temporal networks,…

Physics and Society · Physics 2014-10-13 Christian L. Vestergaard , Mathieu Génois , Alain Barrat

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

When an infection spreads in a community, an individual's probability of becoming infected depends on both her susceptibility and exposure to the contagion through contact with others. While one often has knowledge regarding an individual's…

Social and Information Networks · Computer Science 2017-12-05 Maggie Makar , John Guttag , Jenna Wiens

In this paper, we are concerned with two SIS epidemic reaction-diffusion models with mass action infection mechanism of the form $SI$, and study the spatial profile of population distribution as the movement rate of the infected individuals…

Analysis of PDEs · Mathematics 2023-01-04 Rui Peng , Zhi-an Wang , Guanghui Zhang , Maolin Zhou

We analyze the Bass and SI models for the spreading of innovations and epidemics, respectively, on homogeneous complete networks, circular networks, and heterogeneous complete networks with two homogeneous groups. We allow the network…

Classical Analysis and ODEs · Mathematics 2024-07-16 Gadi Fibich , Amit Golan , Steven Schochet

The formation of network structure is mainly influenced by an individual node's activity and its memory, where activity can usually be interpreted as the individual inherent property and memory can be represented by the interaction strength…

Physics and Society · Physics 2015-12-15 Hyewon Kim , Meesoon Ha , Hawoong Jeong

Many real networks are embedded in a metric space: the interactions among individuals depend on their spatial distances and usually take place among their nearest neighbors. In this paper, we introduce a modified…

Physics and Society · Physics 2015-06-26 Xin-Jian Xu , Wen-Xu Wang , Tao Zhou , Guanrong Chen

In the study of epidemic dynamics a fundamental question is whether a pathogen initially affecting only one individual will give rise to a limited outbreak or to a widespread pandemic. The answer to this question crucially depends not only…

Physics and Society · Physics 2021-08-12 Alfredo De Bellis , Romualdo Pastor-Satorras , Claudio Castellano