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

被引：0
|
作者：
Panpan Wang
Jianwen Jia
机构：
[1] Shanxi Normal University,School of Mathematical and Computer Science
来源：
Advances in Difference Equations | / 2019卷
关键词：
Stochastic SIRD model; Ebola virus; Extinction; Stationary distribution; 37H10; 60H10; 92C60; 92D30;
D O I：
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学科分类号：
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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