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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

We present a detailed analytical and numerical study for the spreading of infections in complex population networks with acquired immunity. We show that the large connectivity fluctuations usually found in these networks strengthen…

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

Comparing with single networks, the multiplex networks bring two main effects on the spreading process among individuals. First, the pathogen or information can be transmitted to more individuals through different layers at one time, which…

Physics and Society · Physics 2017-11-29 Ming Li , Run-Ran Liu , Dan Peng , Chun-Xiao Jia , Bing-Hong Wang

Typically, contagion strength is modeled by a transmission rate $\lambda$, whereby all nodes in a network are treated uniformly in a mean-field approximation. However, local agents react differently to the same contagion based on their…

Physics and Society · Physics 2014-01-28 Pouya Manshour , Afshin Montakhab

Epidemic disease spreading is conventionally often modelled and analyzed by means of rate and diffusion equations, following the paradigms of well-controlled chemical reactions and diffusive dynamics in a test tube. Yet, serious worries…

Physics and Society · Physics 2023-01-03 Klaus Kroy

Multi-strain competition on networks is observed in many contexts, including infectious disease ecology, information dissemination or behavioral adaptation to epidemics. Despite a substantial body of research has been developed considering…

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

Statistical Mechanics · Physics 2026-03-24 Valentin Anfray , Hong-Yan Shih

Networks of person-person contacts form the substrate along which infectious diseases spread. Most network-based studies of the spread focus on the impact of variations in degree (the number of contacts an individual has). However, other…

Quantitative Methods · Quantitative Biology 2008-12-15 Joel C. Miller

Links in many real-world networks activate and deactivate in correspondence to the sporadic interactions between the elements of the system. The activation patterns may be irregular or bursty and play an important role on the dynamics of…

Physics and Society · Physics 2017-02-03 Oriol Artime , Jose J. Ramasco , Maxi San Miguel

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

Probability · Mathematics 2015-03-17 Marc Lelarge

The frequent outbreak of severe foodborne diseases warns of a potential threat that the global trade networks could spread fatal pathogens. The global trade network is a typical overlay network, which compounds multiple standalone trade…

Physics and Society · Physics 2012-10-24 Yong Min , Ying Ge , Xiaogang Jin , Jie Chang

Understanding individual decisions in a world where communications and information move instantly via cell phones and the internet, contributes to the development and implementation of policies aimed at stopping or ameliorating the spread…

Physics and Society · Physics 2020-03-31 Asma Azizi , Cesar Montalvo , Baltazar Espinoza , Yun Kang , Carlos Castillo-Chavez

Many real-world networks display a community structure. We study two random graph models that create a network with similar community structure as a given network. One model preserves the exact community structure of the original network,…

Physics and Society · Physics 2016-11-21 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden

In ecological systems heterogeneous interactions between pathogens take place simultaneously. This occurs, for instance, when two pathogens cooperate, while at the same time multiple strains of these pathogens co-circulate and compete.…

Populations and Evolution · Quantitative Biology 2025-05-05 Francesco Pinotti , Fakhteh Ghanbarnejad , Philipp Hövel , Chiara Poletto

There is a rich history of models for the interaction of a biological contagion like influenza with the spread of related information such as an influenza vaccination campaign. Recent work on the spread of interacting contagions on networks…

Physics and Society · Physics 2020-09-02 Laurent Hébert-Dufresne , Dina Mistry , Benjamin M. Althouse

In this paper, we study the interplay between individual behaviors and epidemic spreading in a dynamical network. We distribute agents on a square-shaped region with periodic boundary conditions. Every agent is regarded as a node of the…

Physics and Society · Physics 2018-02-14 Han-Xin Yang , Ming Tang , Zhen Wang

Despite centuries of work on containment and mitigation strategies, infectious diseases are still a major problem facing humanity. This work is concerned with simulating heterogeneous contact structures and understanding how the structure…

Social and Information Networks · Computer Science 2024-02-07 Jan Kreischer , Adrian Iten , Astrid Jehoul

An epidemic spreading in a network calls for a decision on the part of the network members: They should decide whether to protect themselves or not. Their decision depends on the trade-off between their perceived risk of being infected and…

Systems and Control · Computer Science 2015-03-17 George Theodorakopoulos , Jean-Yves Le Boudec , John S. Baras

When a fraction of a population becomes immune to an infectious disease, the population-wide infection risk decreases nonlinearly due to collective protection, known as herd immunity. Some studies based on mean-field models suggest that…

Physics and Society · Physics 2025-09-03 Takayuki Hiraoka , Zahra Ghadiri , Abbas K. Rizi , Mikko Kivelä , Jari Saramäki

During infectious disease epidemics, pathogen transmission occurs in host populations made up of interacting subpopulations. Using stochastic simulation and analytical approximations, we examine how outbreak sizes in networked populations…

Populations and Evolution · Quantitative Biology 2026-01-21 Makoto Ueki , Robin N. Thompson , Murad Banaji