文章基本信息

标题：Analysis of an SIRS epidemic model with time delay on heterogeneous network
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作者：Qiming Liu ; Meici Sun ; Tao Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：309
DOI：10.1186/s13662-017-1367-z
语种：English
出版社：Hindawi Publishing Corporation
摘要：We discuss a novel epidemic SIRS model with time delay on a scale-free network in this paper. We give an equation of the basic reproductive number R 0 $R_($ for the model and prove that the disease-free equilibrium is globally attractive and that the disease dies out when R 0 1 $R_(>1$ . In addition, by using a suitable Lyapunov function, we establish a set of sufficient conditions on the global attractiveness of the endemic equilibrium of the system.
关键词：epidemic spreading ; scale-free network ; basic reproductive number ; global attractiveness ; time delay