Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting

被引：10
作者：
Liu, Liya [1 ]
Jiang, Daqing [1 ,2 ,3 ]
Hayat, Tasawar [3 ,4 ]
机构：
[1] China Univ Petr East China, Sch Petr Engn, Key Lab Unconvent Oil & Gas Dev, Minist Educ, Qingdao 266580, Peoples R China
[2] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
[4] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2021年 / 574卷
关键词：
SIR epidemic model; Extinction; Positive recurrence; Varying population sizes; Markov switching; ERGODICITY; PERSISTENCE; VACCINATION; BEHAVIOR;
D O I：
10.1016/j.physa.2021.125992
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we investigate an SIR epidemic model with varying population sizes and regime switching in a two patch setting. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model in the case of persistence by constructing a suitable stochastic Lyapunov function with regime switching. Finally, numerical simulations are performed to test our theory conclusion. (c) 2021 Elsevier B.V. All rights reserved.
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页数：20
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