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

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题名:	Analysis of epidemic spreading of an SIRS model in complex heterogeneous networks
作者:	楊肅煜;Li, Chun-Hsien;Tsai, Chiung-Chiou;Yang, Suh-Yuh
贡献者:	理學院數學系
关键词:	Asymptotic properties;Communities;Community structure;Complex network;Computer simulation;Epidemic model;Epidemics;Global stability;Lyapunov function;Mathematical models;Networks;Series (mathematics);Spreading
日期:	2014-01-01
上传时间:	2026-04-23 16:10:48 (UTC+8)
出版者:	Elsevier;Elsevier B.V
摘要:	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
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