A NOTE ON A STOCHASTIC PERTURBED DI SIR EPIDEMIC MODEL

被引：0
|
作者：
Yang, Qingshan [1 ]
Ji, Chunyan [1 ,2 ]
Jiang, Daqing [1 ]
O'Regan, Donal [3 ]
Agarwal, Ravi P. [4 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[4] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2011年 / 20卷 / 2-3期
关键词：
Stochastic DI SIR epidemic model; Ito's formula; Stochastic Lyapunov function; DIFFERENTIAL INFECTIVITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, winch conform to our analytical result.
引用
收藏
页码：183 / 192
页数：10
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