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The spread of infectious disease is strongly influenced by social dynamics. In addition to infection risk, individuals vaccination decisions depend on prevailing social behavior: high infection levels and widespread vaccination can increase…

Populations and Evolution · Quantitative Biology 2026-04-17 Xinxuan Wang , Youngmin Park , Bryce Morsky

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

Physics and Society · Physics 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

We investigate the effects of heterogeneous and clustered contact patterns on the timescale and final size of infectious disease epidemics. The abundance of transitive relationships (the number of 3 cliques) in a network and the variance of…

Quantitative Methods · Quantitative Biology 2010-06-07 Erik M Volz

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

Social and Information Networks · Computer Science 2015-03-19 Robert Elsässer , Adrian Ogierman

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

Understanding how societies react to epidemic threats requires more than tracking infection curves. Public perception, collective memory and behavioural adaptation interact through feedback loops that can amplify or suppress the spread of…

Dynamical Systems · Mathematics 2025-12-02 João P. S. Maurício de Carvalho

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

We present the analysis of the interrelation between two processes accounting for the spreading of an epidemics, and the information awareness to prevent its infection, on top of multiplex networks. This scenario is representative of an…

Physics and Society · Physics 2013-09-24 Clara Granell , Sergio Gomez , Alex Arenas

Many organisms in nature use local interactions to generate global cooperative phenomena. To unravel how the behavior of individuals generates effective interactions within a group, we introduce a simple model, wherein each agent senses the…

Statistical Mechanics · Physics 2024-02-20 Samudrajit Thapa , Bat-El Pinchasik , Yair Shokef

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

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

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

The social networks that infectious diseases spread along are typically clustered. Because of the close relation between percolation and epidemic spread, the behavior of percolation in such networks gives insight into infectious disease…

Quantitative Methods · Quantitative Biology 2009-05-14 Joel C Miller

Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world…

Physics and Society · Physics 2017-02-09 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

In this paper we study some mathematical models describing evolution of population density and spread of epidemics in population systems in which spatial movement of individuals depends only on the departure and arrival locations and does…

Functional Analysis · Mathematics 2014-03-24 Shangbin Cui , Meng Bai

A theory of the spread of epidemics is formulated on the basis of pairwise interactions in a dilute system of random walkers (infected and susceptible animals) moving in n dimensions. The motion of an animal pair is taken to obey a…

Biological Physics · Physics 2014-08-26 V. M. Kenkre , S. Sugaya

The spreading of an epidemic is determined by the connectiviy patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to…

Statistical Mechanics · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

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

Many progresses in the understanding of epidemic spreading models have been obtained thanks to numerous modeling efforts and analytical and numerical studies, considering host populations with very different structures and properties,…

Physics and Society · Physics 2018-02-02 Antoine Moinet , Alain Barrat , Romualdo Pastor Satorras

The recent COVID-19 pandemic has led to an increasing interest in the modeling and analysis of infectious diseases. The pandemic has made a significant impact on the way we behave and interact in our daily life. The past year has witnessed…

Computer Science and Game Theory · Computer Science 2021-06-17 Shutian Liu , Yuhan Zhao , Quanyan Zhu

The contact structure of the population shapes the progression of epidemics. Nonetheless, the joint evolution of individual behavioral adaptations and disease dynamics on networks remains poorly understood. We use a…

Physics and Society · Physics 2025-08-27 Baltazar Espinoza , Jimmy Calvo-Monge , Fabio Sanchez , Simon A. Levin , Madhav Marathe