Analysis of an SIRS epidemic model with time delay on heterogeneous network

被引：8

作者：

Liu, Qiming ^{[1
]}

Sun, Meici ^{[1
]}

Li, Tao ^{[1
,2
]}

机构：

[1] Arm Engn Univ, Shijiazhuang Campus, Shijiazhuang 050003, Hebei, Peoples R China

[2] 260th Hosp PLA, Shijiazhuang 050041, Hebei, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

epidemic spreading; scale-free network; basic reproductive number; global attractiveness; time delay; SCALE-FREE NETWORKS; COMPLEX NETWORKS; GLOBAL STABILITY; SIS MODEL; NONLINEAR INFECTIVITY; TRANSMISSION; DYNAMICS;

D O I：

10.1186/s13662-017-1367-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 for the model and prove that the disease-free equilibrium is globally attractive and that the disease dies out when R-0 < 1, while the disease is uniformly persistent when R-0 > 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.

引用

页数：13

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