Dynamical behavior of a stochastic SIQS model via isolation with regime-switching

被引：1
|
作者：
Wang, Feng [1 ,2 ]
Liu, Zaiming [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
[2] Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Stochastic SIQS model; Regime switching; Extinction; Stationary distribution; Lyapunov function; SIS EPIDEMIC MODEL; STATIONARY DISTRIBUTION; ASYMPTOTIC-BEHAVIOR; THRESHOLD; EXTINCTION; CLASSIFICATION;
D O I：
10.1007/s12190-022-01831-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic SIQS model via isolation with regime-switching is studied in this paper. The range of positive solution of the model is presented. Threshold to determine extinction and invariant measure is obtained by a new technique, which can be seen as the sufficient and almost necessary condition. Meantime, a value to judge the existence of stationary distribution is acquired by constructing the suitable hybrid Lyapunov function. Two values are proved to be consistent. Several examples are enumerated to test the theoretical results.
引用
收藏
页码：2217 / 2237
页数：21
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