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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

Nowadays, one of the challenges we face when carrying out modeling of epidemic spreading is to develop methods to control disease transmission. In this article we study how the spreading of knowledge of a disease affects the propagation of…

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

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

We study the spreading of cooperative infections in an empirical temporal network of contacts between people, including health care workers and patients, in a hospital. The system exhibits a phase transition leading to one or several…

Physics and Society · Physics 2018-02-08 Jorge P. Rodríguez , Fakhteh Ghanbarnejad , Víctor M. Eguíluz

Multigraphs are graphs in which multiple links between pairs of nodes are allowed, whereas they are forbidden in simple graphs, the latter being widely used in network science. Simple graphs generated by the configuration model have served…

Physics and Society · Physics 2026-05-29 Paulo H. Lorenzoni , Wesley Cota , Francisco A. Rodrigues , Silvio C. Ferreira

Trophic coherence, a measure of the extent to which the nodes of a directed network are organised in levels, has recently been shown to be closely related to many structural and dynamical aspects of complex systems, including graph…

Physics and Society · Physics 2016-07-22 Janis Klaise , Samuel Johnson

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

A key scientific challenge during the outbreak of novel infectious diseases is to predict how the course of the epidemic changes under different countermeasures that limit interaction in the population. Most epidemiological models do not…

Physics and Society · Physics 2023-01-25 Mansi Sood , Anirudh Sridhar , Rashad Eletreby , Chai Wah Wu , Simon A. Levin , H. Vincent Poor , Osman Yagan

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

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

In this paper we study the interplay between epidemic spreading and risk perception on multiplex networks. The basic idea is that the effective infection probability is affected by the perception of the risk of being infected, which we…

Physics and Society · Physics 2014-11-26 Franco Bagnoli , Emanuele Massaro

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

A more connected world has brought major consequences such as facilitate the spread of diseases all over the world to quickly become epidemics, reason why researchers are concentrated in modeling the propagation of epidemics and outbreaks…

Physics and Society · Physics 2015-10-28 Lucila G. Alvarez Zuzek , Camila Buono , Lidia A. Braunstein

Epidemiological processes are studied within a recently proposed hierarchical network model using the susceptible-infected-refractory dynamics of an epidemic. Within the network model, a population may be characterized by $H$ independent…

Disordered Systems and Neural Networks · Physics 2008-06-24 Dafang Zheng , P. M. Hui , Steffen Trimper , Bo Zheng

Epidemics on complex networks is a widely investigated topic in the last few years, mainly due to the last pandemic events. Usually, real contact networks are dynamic, hence much effort has been invested in studying epidemics on evolving…

Physics and Society · Physics 2022-05-18 Hillel Sanhedrai , Shlomo Havlin

In contrast to previous common wisdom that epidemic activity in heterogeneous networks is dominated by the hubs with the largest number of connections, recent research has pointed out the role that the innermost, dense core of the network…

Physics and Society · Physics 2012-05-04 Claudio Castellano , Romualdo Pastor-Satorras

Most real-world networks are not isolated. In order to function fully, they are interconnected with other networks, and this interconnection influences their dynamic processes. For example, when the spread of a disease involves two species,…

Physics and Society · Physics 2013-08-09 Huijuan Wang , Qian Li , Gregorio D'Agostino , Shlomo Havlin , H. Eugene Stanley , Piet Van Mieghem

In this paper we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish inner and the outer infection rate. Unlike household-structure models on homogenous…

Populations and Evolution · Quantitative Biology 2013-02-14 Jingzhou Liu , Jinshan Wu , Z. R. Yang

Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman