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Empirical studies show that epidemiological models based on an epidemic's initial spread rate often fail to predict the true scale of that epidemic. Most epidemics with a rapid early rise die out before affecting a significant fraction of…

Physics and Society · Physics 2021-05-05 Lev Muchnik , Elad Yom-Tov , Nir Levy , Amir Rubin , Yoram Louzoun

The epidemic threshold of a social system is the ratio of infection and recovery rate above which a disease spreading in it becomes an epidemic. In the absence of pharmaceutical interventions (i.e. vaccines), the only way to control a given…

This paper deals with the statistical signal pro- cessing over graphs for tracking infection diffusion in social networks. Infection (or Information) diffusion is modeled using the Susceptible-Infected-Susceptible (SIS) model. Mean field…

Social and Information Networks · Computer Science 2016-11-01 Vikram Krishnamurthy , Sujay Bhatt , Tavis Pedersen

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

Probability · Mathematics 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

The way diseases spread through schools, epidemics through countries, and viruses through the Internet is crucial in determining their risk. Although each of these threats has its own characteristics, its underlying network determines the…

Physics and Society · Physics 2011-12-20 Christian M. Schneider , Tamara Mihaljev , Shlomo Havlin , Hans J. Herrmann

Recently, motivated by the pioneer works that reveal the small-world effect and scale-free property of various real-life networks, many scientists devote themselves into studying complex networks. One of the ultimate goals is to understand…

Physics and Society · Physics 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang

Given a social network, which of its nodes have a stronger impact in determining its structure? More formally: which node-removal order has the greatest impact on the network structure? We approach this well-known problem for the first time…

Social and Information Networks · Computer Science 2011-10-21 Paolo Boldi , Marco Rosa , Sebastiano Vigna

Increasing evidence suggests that, similar to face-to-face communications, human emotions also spread in online social media. However, the mechanisms underlying this emotional contagion, for example, whether different feelings spread in…

Social and Information Networks · Computer Science 2016-12-28 Rui Fan , Ke Xu , Jichang Zhao

By generating transient encounters between individuals beyond their immediate social environment, transport can have a profound impact on the spreading of an epidemic. In this work, we consider epidemic dynamics in the presence of the…

Adaptation and Self-Organizing Systems · Physics 2022-11-03 Christian Kuehn , Jan Mölter

We study corruption as a generalized epidemic process on the graph of social relationships. The main difference to classical epidemic processes is the strong nonlinear dependence of the transmission probability on the local density of…

Physics and Society · Physics 2007-05-23 Ph. Blanchard , A. Krueger , T. Krueger , P. Martin

We study the dynamics of epidemic spreading processes aimed at spontaneous dissemination of information updates in populations with complex connectivity patterns. The influence of the topological structure of the network in these processes…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Alessandro Vespignani

One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

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

A fundamental problem in network science is to predict how certain individuals are able to initiate new networks to spring up "new ideas". Frequently, these changes in trends are triggered by a few innovators who rapidly impose their ideas…

Physics and Society · Physics 2014-05-28 Yanqing Hu , Shlomo Havlin , Hernán A. Makse

We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

Social and Information Networks · Computer Science 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

To control infection spreading on networks, we investigate the effect of observer nodes that recognize infection in a neighboring node and make the rest of the neighbor nodes immune. We numerically show that random placement of observer…

Physics and Society · Physics 2014-07-15 Taro Takaguchi , Takehisa Hasegawa , Yuichi Yoshida

In this paper we study the susceptible-infectious (SI) epidemiological model using dynamical graphs. Dynamical structures have been recently applied in many areas including complex systems. Dynamical structures include the mutual…

Populations and Evolution · Quantitative Biology 2011-10-19 Jose L. Herrera , Gilberto Gonzalez-Parra

How does network structure affect diffusion? Recent studies suggest that the answer depends on the type of contagion. Complex contagions, unlike infectious diseases (simple contagions), are affected by social reinforcement and homophily.…

Social and Information Networks · Computer Science 2013-11-12 Lilian Weng , Filippo Menczer , Yong-Yeol Ahn

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

Epidemics have so far been mostly studied in undirected networks. However, many real-world networks, such as the social network Twitter and the WWW networks, upon which information, emotion or malware spreads, are shown to be directed…

Physics and Society · Physics 2015-06-15 Cong Li , Huijuan Wang , Piet Van Mieghem