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Security games model the confrontation between a defender protecting a set of targets and an attacker who tries to capture them. A variant of these games assumes security interdependence between targets, facilitating contagion of an attack.…

Social and Information Networks · Computer Science 2019-12-17 Marcin Waniek , Tomasz P. Michalak , Aamena Alshamsi

The spread of an infection on a real-world social network is determined by the interplay of two processes: the dynamics of the network, whose structure changes over time according to the encounters between individuals, and the dynamics on…

Physics and Society · Physics 2015-10-28 Lorenzo Coviello , Massimo Franceschetti , Manuel Garcia-Herranz , Iyad Rahwan

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

This work examines the discrete-time networked SIR (susceptible-infected-recovered) epidemic model, where the infection and recovery parameters may be time-varying. We provide a sufficient condition for the SIR model to converge to the set…

Systems and Control · Electrical Eng. & Systems 2021-03-01 Ciyuan Zhang , Humphrey Leung , Brooks Butler , Philip. E. Paré

This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

Optimization and Control · Mathematics 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing…

Populations and Evolution · Quantitative Biology 2014-03-11 Joel C Miller , Istvan Z Kiss

Computer infections such as viruses and worms spread over networks of contacts between computers, with different types of networks being exploited by different types of infections. Here we analyze the structures of several of these…

Networking and Internet Architecture · Computer Science 2007-05-23 Justin Balthrop , Stephanie Forrest , M. E. J. Newman , Matthew M. Williamson

We consider eager-push epidemic dissemination in a complete graph. Time is divided into synchronous stages. In each stage, a source disseminates $\nu$ events. Each event is sent by the source, and forwarded by each node upon its first…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Xavier Vilaca , Luis Rodrigues

We consider the problem of influence maximization in fixed networks for contagion models in an adversarial setting. The goal is to select an optimal set of nodes to seed the influence process, such that the number of influenced nodes at the…

Social and Information Networks · Computer Science 2019-01-23 Justin Khim , Varun Jog , Po-Ling Loh

When dealing with the dissemination of epidemics, one important question that can be asked is the location where the contamination began. In this paper, we analyze three spreading schemes and propose and validate an effective methodology…

Physics and Society · Physics 2016-07-27 Cesar Henrique Comin , Luciano da Fontoura Costa

We study a family of binary state, socially-inspired contagion models which incorporate imitation limited by an aversion to complete conformity. We uncover rich behavior in our models whether operating with either probabilistic or…

Chaotic Dynamics · Physics 2013-03-08 Peter Sheridan Dodds , Kameron Decker Harris , Christopher M. Danforth

Vaccination has played an important role in preventing the spread of infectious diseases. However, the limited availability of vaccines and personnel at the roll-out of a new vaccine and the costs of vaccination campaigns often limit how…

Physics and Society · Physics 2026-01-27 Rowan Hoogervorst , Evelien van der Hurk , David Pisinger

In this paper, we develop a node-based approximate model for Markovian contagion dynamics on networks. We prove that our approximate model is exact for SIR (susceptible-infectious-recovered) and SEIR…

Dynamical Systems · Mathematics 2021-08-17 Cameron L. Hall , Bram A. Siebert

Modeling the spread of infections on networks is a well-studied and important field of research. Most infection and diffusion models require a real value or probability on the edges of the network as an input, but this is rarely available…

Social and Information Networks · Computer Science 2017-06-26 Andras Bota , Lauren Gardner

We model information dissemination as a susceptible-infected epidemic process and formulate a problem to jointly optimize seeds for the epidemic and time varying resource allocation over the period of a fixed duration campaign running on a…

Social and Information Networks · Computer Science 2017-06-29 Kundan Kandhway , Joy Kuri

In many real-world scenarios, it is nearly impossible to collect explicit social network data. In such cases, whole networks must be inferred from underlying observations. Here, we formulate the problem of inferring latent social networks…

Social and Information Networks · Computer Science 2010-10-28 Seth A. Myers , Jure Leskovec

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

The spread of one disease, in some cases, can stimulate the spreading of another infectious disease. Here, we treat analytically a symmetric coinfection model for spreading of two diseases on a two-layer multiplex network. We allow layer…

Physics and Society · Physics 2016-04-20 N. Azimi-Tafreshi

Adding edges between layers of interconnected networks is an important way to optimize the spreading dynamics. While previous studies mostly focus on the case of adding a single edge, the theoretical optimal strategy for adding multiple…

Physics and Society · Physics 2019-10-09 Liming Pan , Wei Wang , Shimin Cai , Tao Zhou

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
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