Analysis of a stochastic SIB cholera model with saturation recovery rate and Ornstein-Uhlenbeck process-Reference-Cited by-同舟云学术

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

Published:2023 Issue:7 Volume:20 Page:11644-11655
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Wen Buyu¹,Liu Bing²,Cui Qianqian³

Affiliation:

1. School of Information Engineering, Liaodong University, Dandong 118003, Liaoning, China

2. School of Mathematics and Information Science, Anshan Normal University, Anshan 114007, Liaoning, China

3. School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, Ningxia, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference23 articles.

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