Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure

被引：4
|
作者：
Teng, Zhidong [1 ]
Nie, Linfei [1 ]
Xu, Jiabo [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
discrete SIS epidemic model; stage structure; permanence and extinction; endemic equilibrium; local stability; TIME SI;
D O I：
10.1186/1687-1847-2013-87
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discrete SIS epidemic model with stage structure and standard incident rate which is governed by Beverton-Holt type is studied. The sufficient conditions on the permanence and extinction of disease are established. The existence of the endemic equilibrium is obtained. Further, by using the method of linearization, the local asymptotical stability of the endemic equilibrium is also studied. Lastly, the examples and numerical simulations carried out to illustrate the feasibility of the main results and revealed the far richer dynamical behaviors of the discrete epidemic model compared with the corresponding continuous epidemic models.
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页数：23
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