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The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

Dynamical Systems · Mathematics 2021-07-26 Hannah Scanlon , John Gemmer

In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the…

Statistical Mechanics · Physics 2026-03-18 Alexander Leibenzon , Samuel W. S. Johnson , Ruth E. Baker , Michael Assaf

Disease awareness in epidemiology can be modelled with adaptive contact networks, where the interplay of disease dynamics and network alteration often adds new phases to the standard models (Gross et al. 2006, Shaw et al. 2008) and, in…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Andrea Parisi , Ana Nunes

In this work, the aim is to study the spread of a contagious disease and information on a multilayer social system. The main idea is to find a criterion under which the adoption of the spreading information blocks or suppresses the epidemic…

Physics and Society · Physics 2021-03-16 Semra Gunduc

A network epidemic model is studied. The underlying social network has two different types of group structures, households and workplaces, such that each individual belongs to exactly one household and one workplace. The random network is…

Probability · Mathematics 2024-10-10 Frank Ball , Tom Britton , Peter Neal

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

Epidemic models are increasingly used in real-world networks to understand diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of information (such as news, memes in social on-line…

Physics and Society · Physics 2016-12-06 Piet Van Mieghem

We present a continuous formulation of epidemic spreading on multilayer networks using a tensorial representation, extending the models of monoplex networks to this context. We derive analytical expressions for the epidemic threshold of the…

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

Many real networks exhibit a layered structure in which links in each layer reflect the function of nodes on different environments. These multiple types of links are usually represented by a multiplex network in which each layer has a…

Physics and Society · Physics 2014-03-19 C. Buono , L. G. Alvarez Zuzek , P. A. Macri , L. A. Braunstein

Contacts between individuals serve as pathways where infections may propagate. These contact patterns can be represented by network structures. Static structures have been the common modeling paradigm but recent results suggest that…

Populations and Evolution · Quantitative Biology 2012-04-25 Luis Enrique Correa Rocha , Adeline Decuyper , Vincent D Blondel

We study an SIS epidemic process over a static contact network where the nodes have partial information about the epidemic state. They react by limiting their interactions with their neighbors when they believe the epidemic is currently…

Social and Information Networks · Computer Science 2024-05-03 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Jeff S. Shamma

Epidemic propagation on complex networks has been widely investigated, mostly with invariant parameters. However, the process of epidemic propagation is not always constant. Epidemics can be affected by various perturbations, and may bounce…

Physics and Society · Physics 2017-09-13 Dan Lu , Shunkun Yang , Jiaquan Zhang , Huijuan Wang , Daqing Li

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

Physics and Society · Physics 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations…

Physics and Society · Physics 2016-06-29 Chao-Ran Cai , Zhi-Xi Wu , Michael Z. Q. Chen , Petter Holme , Jian-Yue Guan

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

Dynamical Systems · Mathematics 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

Most real networks are characterized by connectivity patterns that evolve in time following complex, non-Markovian, dynamics. Here we investigate the impact of this ubiquitous feature by studying the Susceptible-Infected-Recovered (SIR) and…

Physics and Society · Physics 2016-01-20 Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

Most previous studies of epidemic dynamics on complex networks suppose that the disease will eventually stabilize at either a disease-free state or an endemic one. In reality, however, some epidemics always exhibit sporadic and recurrent…

Physics and Society · Physics 2013-11-19 Xiao-Long Peng , Michael Small , Xin-Jian Xu , Xinchu Fu