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

被引：24

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.

引用

页数：16

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