Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington-DeAngelis Incidence Rate

被引：3
|
作者：
Wang, Shan [1 ]
Peng, Youhua [1 ]
Wang, Feng [1 ,2 ]
机构：
[1] Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
EPIDEMIC MODEL; SATURATED INCIDENCE; THRESHOLD; PERMANENCE; EXTINCTION; DYNAMICS; SYSTEM;
D O I：
10.1155/2020/7181939
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A regime-switching SIRS model with Beddington-DeAngelis incidence rate is studied in this paper. First of all, the property that the model we discuss has a unique positive solution is proved and the invariant set is presented. Secondly, by constructing appropriate Lyapunov functionals, global stochastic asymptotic stability of the model under certain conditions is proved. Then, we leave for studying the asymptotic behavior of the model by presenting threshold values and some other conditions for determining disease extinction and persistence. The results show that stochastic noise can inhibit the disease and the behavior will have different phenomena owing to the role of regime-switching. Finally, some examples are given and numerical simulations are presented to confirm our conclusions.
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页数：12
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