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We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is comprised of a system of ordinary differential equations…

Pattern Formation and Solitons · Physics 2018-02-14 Lawrence M. Chen , Matt Holzer , Anne Shapiro

Consider a fully connected network of nodes, some of which have a piece of data to be disseminated to the whole network. We analyze the following push-type epidemic algorithm: in each push round, every node that has the data, i.e., every…

Probability · Mathematics 2014-03-12 Mine Caglar , Ali Devin Sezer

In the broadcasting problem on trees, a $\{-1,1\}$-message originating in an unknown node is passed along the tree with a certain error probability $q$. The goal is to estimate the original message without knowing the order in which the…

Probability · Mathematics 2025-09-12 Ernst Althaus , Lisa Hartung , Rebecca Steiner

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei Wang

When spreading information over social networks, seeding algorithms selecting users to start the dissemination play a crucial role. The majority of existing seeding algorithms focus solely on maximizing the total number of reached nodes,…

Social and Information Networks · Computer Science 2022-08-29 Maciej Styczen , Bing-Jyue Chen , Ya-Wen Teng , Yvonne-Anne Pignolet , Lydia Chen , De-Nian Yang

In complex networks there are overlapping substructures or "circles" that consist of nodes belonging to multiple cohesive subgroups. Yet the role of these overlapping nodes in influence spreading processes remains underexplored. In the…

Social and Information Networks · Computer Science 2026-03-12 Kosti Koistinen , Vesa Kuikka , Kimmo Kaski

We consider the problem of maximizing the spread of influence in a social network by choosing a fixed number of initial seeds --- a central problem in the study of network cascades. The majority of existing work on this problem, formally…

Social and Information Networks · Computer Science 2016-09-22 Rico Angell , Grant Schoenebeck

This paper introduces a microscopic approach to model epidemics, which can explicitly consider the consequences of individual's decisions on the spread of the disease. We first formulate a microscopic multi-agent epidemic model where every…

Multiagent Systems · Computer Science 2020-04-28 Changliu Liu

In this letter, we investigate the detailed epidemic spreading process in scale-free networks with links' weights that denote familiarity between two individuals and find that spreading velocity reaches a peak quickly then decays in a…

Statistical Mechanics · Physics 2009-11-10 Gang Yan , Tao Zhou , Jie Wang , Zhong-Qian Fu , Bing-Hong Wang

Sensor placement for the purpose of detecting/tracking news outbreak and preventing rumor spreading is a challenging problem in a large scale online social network (OSN). This problem is a kind of subset selection problem: choosing a small…

Social and Information Networks · Computer Science 2013-12-09 Junzhou Zhao , John C. S. Lui , Don Towsley , Xiaohong Guan , Pinghui Wang

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

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

It is a fundamental question in epidemiology to estimate, model and predict the growth rate of a pandemic. Analogously, analysing the diffusion of innovation, (fake) news, memes, and rumours is of key importance in the social sciences. The…

Probability · Mathematics 2026-04-30 Zylan Benjert , Júlia Komjáthy , Johannes Lengler , John Lapinskas , Ulysse Schaller

A premise at a heart of network analysis is that entities in a network derive utilities from their connections. The {\em influence} of a seed set $S$ of nodes is defined as the sum over nodes $u$ of the {\em utility} of $S$ to $u$. {\em…

Social and Information Networks · Computer Science 2016-02-02 Edith Cohen , Daniel Delling , Thomas Pajor , Renato F. Werneck

Is it possible to identify individuals who are highly central in a community without gathering any network information, simply by asking a few people? If we use people's nominees as seeds for a diffusion process, will it be successful? We…

Physics and Society · Physics 2017-05-09 Abhijit Banerjee , Arun G. Chandrasekhar , Esther Duflo , Matthew O. Jackson

Identifying the infection sources in a network, including the index cases that introduce a contagious disease into a population network, the servers that inject a computer virus into a computer network, or the individuals who started a…

Discrete Mathematics · Computer Science 2015-03-20 Wuqiong Luo , Wee Peng Tay , Mei Leng

In this paper we study disease spread over a randomly switched network, which is modeled by a stochastic switched differential equation based on the so called $N$-intertwined model for disease spread over static networks. Assuming that all…

Systems and Control · Computer Science 2016-11-04 Masaki Ogura , Victor M. Preciado

Estimating the outcome of a given dynamical process from structural features is a key unsolved challenge in network science. The goal is hindered by difficulties associated to nonlinearities, correlations and feedbacks between the structure…

Physics and Society · Physics 2019-10-02 Francisco A. Rodrigues , Thomas Peron , Colm Connaughton , Jurgen Kurths , Yamir Moreno

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

Influence Maximization(IM) aims to identify highly influential nodes to maximize influence spread in a network. Previous research on the IM problem has mainly concentrated on single-layer networks, disregarding the comprehension of the…

Physics and Society · Physics 2023-11-16 Su-Su Zhang , Ming Xie , Chuang Liu , Xiu-Xiu Zhan
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