Long-time behavior of a stochastic SIR model

被引：68

作者：

Lin, Yuguo ^{[1
,2
]}

Jiang, Daqing ^{[1
]}

Xia, Peiyan ^{[3
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] Beihua Univ, Sch Math, Jilin 132013, Jilin, Peoples R China

[3] Changchun Univ Technol, Coll Basic Sci, Changchun 130021, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 236卷

关键词：

Diffusion process; Markov semigroups; Asymptotic stability; EPIDEMIC MODEL; GLOBAL STABILITY; DYNAMICS;

D O I：

10.1016/j.amc.2014.03.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze long-time behavior of densities of the distributions of the solution for a stochastic SIR epidemic model. We prove that the densities can converge in L-1 to an invariant density or can converge weakly to a singular measure. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1 / 9

页数：9

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