A stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate

被引：32
|
作者：
Liu, Qun [1 ]
Jiang, Daqing [2 ,3 ,4 ]
Hayat, Tasawar [4 ,5 ]
Alsaedi, Ahmed [4 ]
Ahmad, Bashir [4 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China
[2] China Univ Petr East China, Key Lab Unconvent Oil & Gas Dev, Minist Educ, Qingdao 266580, Peoples R China
[3] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
[5] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 551卷
基金：
中国国家自然科学基金;
关键词：
SIRS epidemic model; Logistic growth; General nonlinear incidence rate; Stationary distribution; Ergodicity; STATIONARY DISTRIBUTION; NUMERICAL SIMULATIONS; MEDIA; INTERFERENCE; PERSISTENCE;
D O I：
10.1016/j.physa.2020.124152
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the stochastic model by constructing a suitable stochastic Lyapunov function, which provides us a good description of persistence. We find that the hypothetical conditions on the nonlinear function are relative weak and valid for many forms of incidence rate. (C) 2020 Elsevier B.V. All rights reserved.
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页数：11
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