Threshold dynamics of a stochastic general SIRS epidemic model with migration

被引：1
|
作者：
Cao, Zhongwei [1 ]
Zhang, Jian [2 ]
Su, Huishuang [3 ]
Zu, Li [4 ]
机构：
[1] Jilin Univ Finance & Econ, Logist Ind Econ & Intelligent Logist Lab, Changchun 130117, Peoples R China
[2] Changchun Finance Coll, Dept Basic Teaching & Res, Changchun 130028, Peoples R China
[3] Jilin Univ Finance & Econ, Yatai Sch Business Management, Changchun 130117, Peoples R China
[4] Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 06期
基金：
中国国家自然科学基金;
关键词：
immigration; general incidence rate; SIRS epidemic model; threshold dynamics; ergodicity; LONG-TIME BEHAVIOR; STABILITY;
D O I：
10.3934/mbe.2023497
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this study, a stochastic SIRS epidemic model that features constant immigration and general incidence rate is investigated. Our findings show that the dynamical behaviors of the stochastic system can be predicted using the stochastic threshold RS0. If RS0 < 1, the disease will become extinct with certainty, given additional conditions. Conversely, if RS0 > 1, the disease has the potential to persist. Moreover, the necessary conditions for the existence of the stationary distribution of positive solution in the event of disease persistence is determined. Our theoretical findings are validated through numerical simulations.
引用
收藏
页码：11212 / 11237
页数：26
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