Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109153

Title:	Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks
Authors:	楊肅煜;Li, Chun-Hsien;Tsai, Chiung-Chiou;Yang, Suh-Yuh
Contributors:	理學院數學系
Keywords:	Asymptotic properties;Communities;Community structure;Complex network;Computer simulation;Epidemic model;Epidemics;Global stability;Lyapunov function;Mathematical models;Networks;Series (mathematics);Spreading
Date:	2014-01-01
Issue Date:	2026-04-23 16:10:48 (UTC+8)
Publisher:	Elsevier;Elsevier B.V
Abstract:	摘要： •We study the epidemic spreading in complex heterogeneous networks based on an SIRS model.•The dynamics of the network-based SIRS model is completely determined by a threshold value R0.•If R0<=1 then the disease-free equilibrium is globally attractive and the disease dies out.•If R0>1 then there exists uniquely an endemic equilibrium which is globally asymptotically stable.•We also consider the effect of network community structure on the epidemic dynamics. In this paper, we study the spreading of infections in complex heterogeneous networks based on an SIRS epidemic model with birth and death rates. We find that the dynamics of the network-based SIRS model is completely determined by a threshold value. If the value is less than or equal to one, then the disease-free equilibrium is globally attractive and the disease dies out. Otherwise, the disease-free equilibrium becomes unstable and in the meantime there exists uniquely an endemic equilibrium which is globally asymptotically stable. A series of numerical experiments are given to illustrate the theoretical results. We also consider the SIRS model in the clustered scale-free networks to examine the effect of network community structure on the epidemic dynamics. 出版者： Elsevier B.V 出版日期： 2014-04-01 出處： Communications in nonlinear science & numerical simulation, 2014-04, Vol.19 (4), p.1042-1054 版權： 2013 Elsevier B.V. 識別號： ISSN: 1007-5704 識別號： EISSN: 1878-7274 識別號： DOI: 10.1016/j.cnsns.2013.08.033
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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