Global Dynamics of an SIRS Epidemic Model with Distributed Delay on Heterogeneous Network

被引：2
|
作者：
Liu, Qiming [1 ]
Li, Baochen [2 ]
Sun, Meici [1 ]
机构：
[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang, Peoples R China
[2] Shijiazhuang Mech Engn Coll, Dept Sci & Res, Shijiazhuang 050003, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2017年 / 2017卷
关键词：
SCALE-FREE NETWORKS; TIME-DELAY; SIS MODEL; STABILITY; TRANSMISSION;
D O I：
10.1155/2017/6376502
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A novel epidemic SIRS model with distributed delay on complex network is discussed in this paper. The formula of the basis reproductive number R-0 for the model is given, and it is proved that the disease dies out when R-0 < 1 and the disease is uniformly persistent when.. 0 > 1. In addition, a unique endemic equilibrium for the SIRS model exists when R-0 > 1, and a set of sufficient conditions on the global attractiveness of the endemic equilibrium for the system is given.
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页数：9
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