Stationary distribution of a stochastic SIRD epidemic model of Ebola with double saturated incidence rates and vaccination

被引：22
作者：
Wang, Panpan [1 ]
Jia, Jianwen [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfe, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
关键词：
Stochastic SIRD model; Ebola virus; Extinction; Stationary distribution; PERSISTENCE; EXTINCTION; THRESHOLD;
D O I：
10.1186/s13662-019-2352-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a stochastic SIRD model of Ebola with double saturated incidence rates and vaccination is considered. Firstly, the existence and uniqueness of a global positive solution are obtained. Secondly, by constructing suitable Lyapunov functions and using Khasminskii's theory, we show that the stochastic model has a unique stationary distribution. Moreover, the extinction of the disease is also analyzed. Finally, numerical simulations are carried out to portray the analytical results.
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收藏
页数：16
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