Asymptotic Behavior of Global Positive Solution to a Stochastic SIV Epidemic Model with Vaccination

被引:0
作者
Zhou, Ting [1 ]
Wang, Hui [1 ]
Hu, Zhixing [1 ]
Liao, Fucheng [1 ]
机构
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
来源
INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014) | 2014年
关键词
STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we explore a stochastic SIV epidemic model with vaccination and show that this model has a unique global positive solution. By the method of stochastic Lyapunov functions, we study their asymptotic behavior in terms of the intensity of the stochastic perturbations and the reproductive number R-0 . Results show that the positive solution oscillates around the disease-free equilibrium if R0. 1, and fluctuates around the certain level if R-0 > 1.
引用
收藏
页码:943 / 948
页数:6
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