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It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that…

Disordered Systems and Neural Networks · Physics 2010-09-09 Naoki Masuda

Epidemics in large complete networks is well established. In contrast, we consider epidemics in non-complete networks. We establish the fluid limit macroscopic dynamics of a multi-virus spread over a multipartite network as the number of…

Social and Information Networks · Computer Science 2013-06-27 Augusto Santos , José M. F. Moura , João Xavier

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

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

Epidemic spreading has been studied for a long time and most of them are focused on the growing aspect of a single epidemic outbreak. Recently, we extended the study to the case of recurrent epidemics (Sci. Rep. {\bf 5}, 16010 (2015)) but…

Physics and Society · Physics 2017-05-29 Muhua Zheng , Ming Zhao , Byungjoon Min , Zonghua Liu

Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two spreading dynamics is still lacking. Here we…

Physics and Society · Physics 2016-07-07 Wei Wang , Quan-Hui Liu , Shi-Min Cai , Ming Tang , Lidia A. Braunstein , H. Eugene Stanley

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

Social and economic networks are often multiplexed, meaning that people are connected by different types of relationships -- such as borrowing goods and giving advice. We make two contributions to the study of multiplexing and the…

General Economics · Economics 2025-10-28 Arun G. Chandrasekhar , Vasu Chaudhary , Benjamin Golub , Matthew O. Jackson

This letter investigates the multiple routes transmitted epidemic process on multiplex networks. We propose detailed theoretical analysis that allows us to accurately calculate the epidemic threshold and outbreak size. It is found that the…

Social and Information Networks · Computer Science 2015-06-18 Dawei Zhao , Lixiang Li , Haipeng Peng , Qun Luo , Yixian Yang

Spreading processes on networks are ubiquitous in both human-made and natural systems. Understanding their behavior is of broad interest; from the control of epidemics to understanding brain dynamics. While in some cases there exists a…

Statistical Mechanics · Physics 2021-06-23 Daniel J. Korchinski , Javier G. Orlandi , Seung-Woo Son , Jörn Davidsen

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

Epidemic spreading processes in the real world can interact with each other in a cooperative, competitive, or asymmetric way, requiring a description based on coevolution dynamics. Rich phenomena such as discontinuous outbreak transitions…

Physics and Society · Physics 2020-11-17 Liming Pan , Dan Yang , Wei Wang , Shimin Cai , Tao Zhou , Ying-Cheng Lai

Information diffusion and disease spreading in communication-contact layered network are typically asymmetrically coupled with each other, in which how an individual being aware of disease responds to the disease can significantly affect…

Physics and Society · Physics 2016-06-20 Quan-Hui Liu , Wei Wang , Ming Tang , Hai-Feng Zhang

In an increasingly interconnected world, a key scientific challenge is to examine mechanisms that lead to the widespread propagation of contagions, such as misinformation and pathogens, and identify risk factors that can trigger large-scale…

Social and Information Networks · Computer Science 2024-09-27 Mansi Sood , Hejin Gu , Rashad Eletreby , Swarun Kumar , Chai Wah Wu , Osman Yagan

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 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…

The coexistence of multiple types of interactions within social, technological and biological networks has moved the focus of the physics of complex systems towards a multiplex description of the interactions between their constituents.…

Physics and Society · Physics 2015-11-09 Jesús Gómez-Gardeñes , Manlio De Domenico , Gerardo Gutiérrez , Alex Arenas , Sergio Gómez

Interactions in biology and social systems are not restricted to pairwise but can take arbitrary sizes. Extensive studies have revealed that the arbitrary-sized interactions significantly affect the spreading dynamics on networked systems.…

Physics and Society · Physics 2021-05-19 Wenyao Li , Xiaoyu Xue , Liming Pan , Tao Lin , Wei Wang

Diffusion of information and viral content, social contagion and influence are still topics of broad evaluation. We have studied the information epidemic in a social networking platform in order compare different campaign setups. The goal…

Social and Information Networks · Computer Science 2013-02-14 Andrzej Jarynowski , Jaroslaw Jankowski , Anita Zbieg

Real epidemic spreading networks often composed of several kinds of networks interconnected with each other, and the interrelated networks have the different topologies and epidemic dynamics. Moreover, most human diseases are derived from…

Physics and Society · Physics 2017-06-21 Zhongpu Xu , Xinchu Fu