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Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

Optimization and Control · Mathematics 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

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 report numerical evidence that an epidemic-like model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette

We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

Physics and Society · Physics 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

Promoting information spreading is a booming research topic in network science community. However, the exiting studies about promoting information spreading seldom took into account the human memory, which plays an important role in the…

Physics and Society · Physics 2017-06-28 Lei Gao , Wei Wang , Panpan Shu , Hui Gao , Lidia A. Braunstein

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

We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Yan , Tao Zhou , Jie Wang , Zhongqian Fu , Binghong Wang

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

We explain a possible mechanism of an information spreading on a network which spreads extremely far from a seed node, namely the viral spreading. On the basis of a model of the information spreading in an online social network, in which…

Physics and Society · Physics 2014-03-18 Tatsuro Kawamoto , Naomichi Hatano

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

Nowadays, information spreading on social networks has triggered an explosive attention in various disciplines. Most of previous works in this area mainly focus on discussing the effects of spreading probability or immunization strategy on…

Physics and Society · Physics 2013-08-20 Chuang Liu , Zi-Ke Zhang

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

Cumulative effect in social contagions underlies many studies on the spread of innovation, behaviors, and influence. However, few large-scale empirical studies are conducted to validate the existence of cumulative effect in the information…

Social and Information Networks · Computer Science 2014-03-05 Peng Bao , Hua-Wei Shen , Wei Chen , Xue-Qi Cheng

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

Information spreading has been studied for decades, but its underlying mechanism is still under debate, especially for those ones spreading extremely fast through Internet. By focusing on the information spreading data of six typical events…

Physics and Society · Physics 2018-05-08 Jiao Wu , Muhua Zheng , Zi-Ke Zhang , Wei Wang , Changgui Gu , Zonghua Liu

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

Network epidemic simulation holds the promise of enabling fine-grained understanding of epidemic behavior, beyond that which is possible with coarse-grained compartmental models. Key inputs to these epidemic simulations are the networks…

Social and Information Networks · Computer Science 2024-01-01 Omar Eldaghar , Michael W. Mahoney , David F. Gleich

Spreading processes are ubiquitous in natural and artificial systems. They can be studied via a plethora of models, depending on the specific details of the phenomena under study. Disease contagion and rumor spreading are among the most…

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

Social and Information Networks · Computer Science 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

One of the famous results of network science states that networks with heterogeneous connectivity are more susceptible to epidemic spreading than their more homogeneous counterparts. In particular, in networks of identical nodes it has been…

Physics and Society · Physics 2015-08-05 Hui Yang , Ming Tang , Thilo Gross