Exponential ergodicity of a regime-switching SIS epidemic model with jumps

被引:7
|
作者
Lin, Yuguo [1 ]
Zhao, Yanan [1 ]
机构
[1] Beihua Univ, Sch Math & Stat, Jilin 132013, Jilin, Peoples R China
关键词
Irreducibility; Strong Feller property; Exponential ergodicity; Extinction; Threshold; STABILITY; DISEASES; DYNAMICS;
D O I
10.1016/j.aml.2019.02.032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a regime-switching SIS epidemic model with jumps. By verifying a Foster-Lyapunov condition, a sufficient condition for the exponential ergodicity is presented. As a by-product, we determine the threshold for the disease to occur or not. (C) 2019 Elsevier Ltd. All rights reserved.
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页码:133 / 139
页数:7
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