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We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

Biological Physics · Physics 2012-10-25 Frank Bauer , Joseph T. Lizier

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 epidemic spreading has been widely studied when each node may get infected by an infected neighbor with the same rate. However, the infection rate between a pair of nodes is usually heterogeneous and even correlated with their nodal…

Physics and Society · Physics 2017-02-01 Bo Qu , Huijuan Wang

We investigate infectious disease spreading on scale-free networks using a heterogeneous mean-field approach applied to the susceptible-infected-susceptible model, incorporating a mitigation factor. Individual heterogeneity is incorporated…

Statistical Mechanics · Physics 2026-05-12 João Gabriel Simões Delboni , M. O. Hase

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents, and reconnecting those links with the rest of the…

Physics and Society · Physics 2007-07-11 Damian H. Zanette

When an infection spreads in a community, an individual's probability of becoming infected depends on both her susceptibility and exposure to the contagion through contact with others. While one often has knowledge regarding an individual's…

Social and Information Networks · Computer Science 2017-12-05 Maggie Makar , John Guttag , Jenna Wiens

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a…

Physics and Society · Physics 2018-04-05 Rosanna C Barnard , Istvan Z Kiss , Luc Berthouze , Joel C Miller

Networked epidemic models have been widely adopted to describe propagation phenomena. The endemic equilibrium of these models is of great significance in the field of viral marketing, innovation dissemination, and information diffusion.…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Fangzhou Liu , Shaoxuan Cui , Xianwei Li , Martin Buss

In cyberspace, evolutionary strategies are commonly used by both attackers and defenders. For example, an attacker's strategy often changes over the course of time, as new vulnerabilities are discovered and/or mitigated. Similarly, a…

Cryptography and Security · Computer Science 2019-06-14 Jose David Mireles , Eric Ficke , Jin-Hee Cho , Patrick Hurley , Shouhuai Xu

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

Characterizing attacker behavior with respect to Cyber-Physical Systems is important to assuring the security posture and resilience of these systems. Classical cyber vulnerability assessment approaches rely on the knowledge and experience…

Cryptography and Security · Computer Science 2021-03-18 Christopher Deloglos , Carl Elks , Ashraf Tantawy

Single virus epidemics over complete networks are widely explored in the literature as the fraction of infected nodes is, under appropriate microscopic modeling of the virus infection, a Markov process. With non-complete networks, this…

Social and Information Networks · Computer Science 2013-07-01 Augusto Santos , José M. F. Moura , João Xavier

We consider in this paper a general SEIRS model describing the dynamics of an infectious disease including latency, waning immunity and infection-induced mortality. We derive an infinite system of differential equations that provides an…

Optimization and Control · Mathematics 2022-01-26 Marcel Fang , Pierre-Alexandre Bliman

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

This paper deals with the spread of diseases over both a population network and an infrastructure network. We develop a layered networked spread model for a susceptible-infected-susceptible (SIS) pathogen-borne disease spreading over a…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Philip E. Pare , Axel Janson , Sebin Gracy , Ji Liu , Henrik Sandberg , Karl H. Johansson

Coupling cyber and physical systems gives rise to numerous engineering challenges and opportunities. An important challenge is the contagion of failure from one system to another, which can lead to large-scale cascading failures. However,…

Social and Information Networks · Computer Science 2017-07-14 Ali Behfarnia , Ali Eslami

The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this…

Systems and Control · Computer Science 2019-02-15 Sebastian F. Ruf , Keith Paarporn , Philip E. Paré

Understanding interactions between the spread of multiple pathogens during an epidemic is crucial to assessing the severity of infections in human communities. In this paper, we introduce two new Multiplex Bi-Virus Reaction-Diffusion models…

Physics and Society · Physics 2025-08-22 Alyssa Yu , Laura P. Schaposnik

We are facing a common serious issue, infectious diseases, and trying to suppress the spreading of infection. We need less contact with each other to decrease the chance of infection, but this means loss of economic activity, as well. This…

Physics and Society · Physics 2020-05-15 Kenichi Nakazato , Masanori Takano

The spread of an undesirable contact process, such as an infectious disease (e.g. COVID-19), is contained through testing and isolation of infected nodes. The temporal and spatial evolution of the process (along with containment through…

Machine Learning · Computer Science 2023-03-24 Xingran Chen , Hesam Nikpey , Jungyeol Kim , Saswati Sarkar , Shirin Saeedi-Bidokhti