Dynamic behaviors of a two-group stochastic SIRS epidemic model with standard incidence rates

被引：2
|
作者：
Cao, Zhongwei [1 ]
Shi, Yuee [2 ]
Wen, Xiangdan [3 ]
Su, Huishuang [4 ]
Li, Xue [5 ]
机构：
[1] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130017, Jilin, Peoples R China
[2] First Hosp Jilin Univ, Dept Obstet & Gynecol, Changchun 130031, Jilin, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China
[4] Jilin Univ Finance & Econ, YATAI Sch Business Management, Changchun 130017, Jilin, Peoples R China
[5] Jilin Univ Finance & Econ, Sch Stat, Changchun 130017, Jilin, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 554卷
关键词：
Two-group SIRS epidemic model; Stationary distribution; Extinction; Standard incidence rates; ENDEMIC EQUILIBRIUM; GLOBAL STABILITY; PERSISTENCE; AIDS;
D O I：
10.1016/j.physa.2020.124628
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with a two-group stochastic SIRS epidemic model with standard incidence rates. On one hand, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. On the other hand, we show the sufficient conditions for the diseases to be extinct. (C) 2020 Elsevier B.V. All rights reserved.
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页数：17
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