Analysis of a stochastic SIB cholera model with saturation recovery rate and Ornstein-Uhlenbeck process

被引：3

作者：

Wen, Buyu ^{[1
]}

Liu, Bing ^{[2
]}

Cui, Qianqian ^{[3
]}

机构：

[1] Liaodong Univ, Sch Informat Engn, Dandong 118003, Liaoning, Peoples R China

[2] Anshan Normal Univ, Sch Math & Informat Sci, Anshan 114007, Liaoning, Peoples R China

[3] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 07期

基金：

中国国家自然科学基金;

关键词：

stochastic SIB cholera model; saturation recovery rate; Ornstein-Uhlenbeck process; stationary distribution; density function; EPIDEMIC MODEL; DYNAMICS;

D O I：

10.3934/mbe.2023517

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a stochastic SIB(Susceptible-Infected-Vibrios) cholera model with saturation recovery rate and Ornstein-Uhlenbeck process is investigated. It is proved that there is a unique global solution for any initial value of the model. Furthermore, the sufficient criterion of the stationary distribution of the model is obtained by constructing a suitable Lyapunov function, and the expression of probability density function is calculated by the same condition. The correctness of the theoretical results is verified by numerical simulation, and the specific expression of the marginal probability density function is obtained.

引用

页码：11644 / +

页数：22

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