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

被引：20
|
作者：
Lin, Yuguo [1 ]
Jiang, Daqing [2 ]
Jin, Manli [1 ]
机构：
[1] Beihua Univ, Sch Math & Stat, Jilin 132013, Peoples R China
[2] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 03期
关键词：
Diffusion process; Markov semigroups; asymptotic stability; EPIDEMIC MODEL; DYNAMICS;
D O I：
10.1016/S0252-9602(15)30008-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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