Classification of asymptotic behavior in a stochastic SIS epidemic model with vaccination

被引：4
|
作者：
Jin, Manli [1 ]
机构：
[1] Beihua Univ, Sch Math & Stat, Jilin 132013, Jilin, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 521卷
关键词：
Diffusion process; Strong Feller property; Irreducible; T-process; MARKOVIAN PROCESSES; STABILITY;
D O I：
10.1016/j.physa.2019.01.118
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a stochastic SIS epidemic model with vaccination and degenerate diffusion. We prove that such a stochastic system has a complete threshold R-s. That is, when R-s > 1 stochastic system is ergodic, which means the disease persists; when R-s < 1 the disease I-t becomes extinct exponentially. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：661 / 666
页数：6
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