Dynamics of a stochastic periodic SIRS model with time delay

被引：8
|
作者：
Shi, Xiangyun [1 ]
Cao, Yimeng [1 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2020年 / 13卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Stochastic periodic model; delay; extinction; stochastically ultimate boundedness; persistence; EPIDEMIC MODEL; STATIONARY DISTRIBUTION; EXTINCTION; STABILITY; THRESHOLD; BEHAVIOR;
D O I：
10.1142/S1793524520500722
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Dynamical behaviors of a stochastic periodic SIRS epidemic model with time delay are investigated. By constructing suitable Lyapunov functions and applying Ito's formula, the existence of the global positive solution and the property of stochastically ultimate boundedness of model (1.1) are proved. Moreover, the extinction and the persistence of the disease are established. The results are verified by numerical simulations.
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收藏
页数：18
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