Stochastic analysis of a HBV epidemic model with two-dimensional noises

Qi Liu, Yin Zhou, Jinyu Xia and Anwarud Din

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: This paper investigates a stochastic SIR epidemic model for the Hepatitis B virus (HBV), which includes two types of white noise disturbances that influence both disease transmission and recovery rates. We use Lyapunov functions to establish the solution’s global existence and positivity. In addition, we investigate conditions for HBV extinction and uniform persistence, using appropriate Lyapunov functions to assess model stability. Numerical simulations show that fluctuations in the disease transmission are directly related to the intensity of the noise disturbances. This insight suggests effective control strategies for managing HBV dynamics. Furthermore, we conclude that stochastic disturbances have a significant impact on disease transmission, and in some cases, increased noise intensity may help limit the spread of infection.

Keywords: Two-dimensional noises; Instability stochastic; Threshold value; Persistence in mean; Numerical analysis (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013924

DOI: 10.1016/j.chaos.2024.115840

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