DYNAMICAL BEHAVIOR OF A MULTIGROUP SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATES AND MARKOVIAN SWITCHING

被引：13

作者：

Liu, Qun ^{[1
]}

Jiang, Daqing ^{[1
,2
,3
]}

Hayat, Tasawar ^{[2
,4
]}

Alsaedi, Ahmed ^{[2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

[3] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[4] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 10期

关键词：

Multigroup SIRS epidemic model; extinction; persistence in the mean; positive recurrence; standard incidence rates; Markovian switching; STABILITY; PERSISTENCE; ERGODICITY; EXTINCTION;

D O I：

10.3934/dcds.2019249

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a multigroup SIRS epidemic model with standard incidence rates and Markovian switching. Firstly, we obtain sufficient conditions for extinction of the diseases. Then we establish sufficient conditions for persistence in the mean of the diseases. Moreover, in the case of persistence, we derive sufficient conditions for the existence of positive recurrence of the solutions to the model by constructing a suitable stochastic Lyapunov function with regime switching.

引用

页码：5683 / 5706

页数：24

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