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.
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页数：13
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