随机时滞SIV流行病模型平稳分布（英文）  

Stationary Distribution of Stochastic Delay SIV Epidemic Model

作　　者：李荣华 田凤娟[1,2] 胡晓璐 

机构地区：[1]中国石油大学(华东)理学院,山东青岛266580 [2]六盘水师范学院数学系,贵州六盘水553004

出　　处：《应用数学》2017年第2期239-246,共8页Mathematica Applicata

基　　金：Supported by the Fundamental Research Funds for the Central Universities(15CX08012A)

摘　　要：本文考虑具有时滞的随机SIV流行病模型平稳分布.首先证明模型全局正解几乎处处有限,然后借助李雅普偌夫函数给出平稳分布存在的充分条件.In this paper, the stationary distribution of a stochastic SIV epidemic model with delay was considered. First, we proved that the globally positive solution is finite a.s.Second, the sufficient conditions for the existence of the stationary distribution were given by the Lyapunov function.

关 键 词：随机时滞SIV流行病模型 平稳分布 全局正解 李雅普偌夫函数 

分 类 号：O175.1[理学—数学]