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

Shuying Wu, Sanling Yuan, Guijie Lan and Tonghua Zhang

Applied Mathematics and Computation, 2024, vol. 476, issue C

Abstract: 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.

Keywords: Hepatitis B epidemic model; Ornstein-Uhlenbeck process; Density function; Stationary distribution; Extinction exponentially (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002340

DOI: 10.1016/j.amc.2024.128766

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