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One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

We present a distributed resource allocation strategy to control an epidemic outbreak in a networked population based on a Distributed Alternating Direction Method of Multipliers (D-ADMM) algorithm. We consider a linearized Susceptible-…

Systems and Control · Computer Science 2015-01-09 Chinwendu Enyioha , Ali Jadbabaie , Victor Preciado , George J. Pappas

This paper studies a discrete-time time-varying multi-layer networked SIWS (susceptible-infected-water-susceptible) model with multiple resources under both single-virus and competing multi-virus settings. Besides the human-to-human…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Shaoxuan Cui , Fangzhou Liu , Hildeberto Jardón-Kojakhmetov , Ming Cao

In this article, we construct a numerical method for a stochastic version of the Susceptible Infected Susceptible (SIS) epidemic model, expressed by a suitable stochastic differential equation (SDE), by using the semi-discrete method to a…

Numerical Analysis · Mathematics 2023-07-28 Yiannis Kiouvrekis , Ioannis S. Stamatiou

We propose and analyze an epidemiological model for vector borne diseases that integrates a multi-stage vector population and several host sub-populations which may be characterized by a variety of compartmental model types: subpopulations…

Populations and Evolution · Quantitative Biology 2023-06-28 Francis G. T. Kamba , Leonard C. Eze , Jean Claude Kamgang , Christopher P. Thron

We study the influence of heterogeneous mobility patterns in a population on the SIS epidemic model. In particular, we consider a patchy environment in which each patch comprises individuals belonging the different classes, e.g.,…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Vishal Abhishek , Vaibhav Srivastava

In this paper, we analyze dynamic switching networks, wherein the networks switch arbitrarily among a set of topologies. For this class of dynamic networks, we derive an epidemic threshold, considering the SIS epidemic model. First, an…

Social and Information Networks · Computer Science 2015-08-03 Mohammad Reza Sanatkar , Warren N. White , Balasubramaniam Natarajan , Caterina Scoglio , Karren A. Garrett

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

In previous work, we developed the scaled SIS process, which models the dynamics of SIS epidemics over networks. With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we are not…

Social and Information Networks · Computer Science 2014-10-10 June Zhang , José M. F. Moura

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. Broken links are either permanently removed or reconnected…

Populations and Evolution · Quantitative Biology 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Although viral spreading processes taking place in networks are often analyzed using Markovian models in which both the transmission and the recovery times follow exponential distributions, empirical studies show that, in many real…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

Theoretical modeling of computer virus/worm epidemic dynamics is an important problem that has attracted many studies. However, most existing models are adapted from biological epidemic ones. Although biological epidemic models can…

Dynamical Systems · Mathematics 2016-04-08 Shouhuai Xu , Wenlian Lu , Li Xu , Zhenxin Zhan

Propagation of contagion in networks depends on the graph topology. This paper is concerned with studying the time-asymptotic behavior of the extended contact processes on static, undirected, finite-size networks. This is a contact process…

Physics and Society · Physics 2015-07-03 June Zhang , José M. F. Moura

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

In this work, we inspect the reliability of controlling and quelling an epidemic disease mimicked by a Susceptible-Infected-Susceptible (SIS) model defined on a complex network by means of current and implementable quarantine and isolation…

Populations and Evolution · Quantitative Biology 2012-06-12 Nuno Crokidakis , Silvio M. Duarte Queiros

We present a general emulation-based framework to address the distributed control of multi-agent systems over packet-based networks. We consider the setup where information is only transmitted at (non-uniform) sampling times and where…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Koen J. A. Scheres , Victor S. Dolk , Michelle S. Chong , Romain Postoyan , W. P. Maurice H. Heemels

In this paper we investigate a susceptible-infected-susceptible (SIS) epidemic model describing data dissemination in opportunistic networks with heterogeneous setting of transmission parameters. We obtained the estimation of the final…

Social and Information Networks · Computer Science 2014-03-28 Vadim Alexeev , Liudmila Rozanova , Alexander Temerev

In the present paper, we are concerned with an SIS epidemic reaction-diffusion model governed by mass action infection mechanism and linear birth-death growth with no flux boundary condition. By performing qualitative analysis, we study the…

Analysis of PDEs · Mathematics 2018-07-11 Huicong Li , Rui Peng , Zhi-An Wang

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

Optimization and Control · Mathematics 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar