Stochastic Formulation of Multiscale Model of Hepatitis B Viral Infections

Oladele Toyin Ogunfowote (), Winston Garira and Kizito Muzhinji
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Oladele Toyin Ogunfowote: Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematical and Computational Sciences, University of Venda, Private Bags X5050, Thohoyandou 0950, South Africa
Winston Garira: Multiscale Modelling of Living Systems Program (MM-LSP), Department of Mathematical Sciences, Sol Plaatje University, Private Bag X5008, Kimberley 8300, South Africa
Kizito Muzhinji: Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematical and Computational Sciences, University of Venda, Private Bags X5050, Thohoyandou 0950, South Africa

Mathematics, 2025, vol. 13, issue 22, 1-19

Abstract: The study investigates and analyzes certain qualitative properties of a stochastic dynamical multiscale model for hepatitis B viral infection. By formulating appropriate stochastic Lyapunov functions, the study derives sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions of the multiscale model. Additionally, the study establishes conditions under which the virus can be eradicated from the population. The findings indicate that low-intensity white noise guarantees a unique ergodic stationary distribution, while higher noise levels can result in viral extinction.

Keywords: randomness; filtration; ergodic stationary distribution; positive solution; virus eradication; stochastic Lyapunov function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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