STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY

被引：0
|
作者：
林玉国 [1 ]
蒋达清 [2 ]
靳曼莉 [1 ]
机构：
[1] School of Mathematics and Statistics,Beihua University
[2] College of Science,China University of Petroleum(East China)
来源：
Acta Mathematica Scientia | 2015年 / 03期
关键词：
Diffusion process; Markov semigroups; asymptotic stability;
D O I：
暂无
中图分类号：
O211.63 [随机微分方程];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article,we consider a stochastic SIR model and show that the distributions of the solutions of the system are absolutely continuous.Furthermore,we analyze long-time behaviour of densities of the distributions of the solution.We prove that the densities can converge in L~1 to an invariant density.
引用
收藏
页码：619 / 629
页数：11
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