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

Chun Hsien Li, Chiung Chiou Tsai, Suh Yuh Yang

研究成果: 雜誌貢獻期刊論文同行評審

123 引文 斯高帕斯(Scopus)

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)1042-1054
頁數13
期刊Communications in Nonlinear Science and Numerical Simulation
19
發行號4
DOIs
出版狀態已出版 - 4月 2014

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