Understanding the dynamics of hepatitis B transmission: A stochastic model with vaccination and Ornstein-Uhlenbeck process

被引：6

作者：

Wu, Shuying ^{[1
]}

Yuan, Sanling ^{[1
]}

Lan, Guijie ^{[1
]}

Zhang, Tonghua ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China

[2] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 476卷

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

Hepatitis B epidemic model; Ornstein-Uhlenbeck process; Density function; Stationary distribution; Extinction exponentially; SIR EPIDEMIC MODEL; ASYMPTOTIC PROPERTIES; VIRUS; EXTINCTION; INFECTION;

D O I：

10.1016/j.amc.2024.128766

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explore and analyze a stochastic epidemiological model with vaccination and two mean -reverting Ornstein-Uhlenbeck processes to describe the dynamics of HBV transmission. Our study begins by deriving a sufficient condition for the extinction of hepatitis B. Additionally, we determine the presence of a stationary distribution using the Markov process stability theory. Next, we utilize algebraic equation theory and the associated Fokker -Planck equation to derive an explicit expression for the unique probability density function. To validate our theoretical findings, we conduct several numerical simulations using hepatitis B data provided by the World Health Organization (WHO). The results of these simulations support and complement our analytical approach.

引用

页数：22

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