Stationary distribution of a stochastic SIS epidemic model with vaccination

被引：84
|
作者：
Lin, Yuguo [1 ,2 ]
Jiang, Daqing [1 ]
Wang, Shuai [3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Beihua Univ, Sch Math & Stat, Jilin 132013, Peoples R China
[3] Chinese Acad Sci, Changchun Inst Opt Fine Mech & Phys, Changchun 130033, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2014年 / 394卷
关键词：
Stationary distribution; Diffusion process; Markov semigroups; Asymptotic stability; LONG-TIME BEHAVIOR; STABILITY;
D O I：
10.1016/j.physa.2013.10.006
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. We prove that the densities of the distributions of the solution can converge in L-1 to an invariant density under appropriate conditions. Also we find the support of the invariant density. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：187 / 197
页数：11
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