Analysis and Cost-Effecteveness of Hepatities B Virus (HBV) Model

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DOI: https://doi.org/10.28924/2291-8639-23-2025-215
Published: Sep 8, 2025
Cite as:
A. Abasher, S. H. Elkhadir, M. A. Orsud, S. Bourazza, Elharam Mohammed, Analysis and Cost-Effecteveness of Hepatities B Virus (HBV) Model, Int. J. Anal. Appl., 23 (2025), 215.

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A. Abasher, S. H. Elkhadir, M. A. Orsud, S. Bourazza, Elharam Mohammed

Abstract

This paper presents a mathematical model for Hepatitis B virus (HBV) dynamics. The model is analyzed to establish the existence, positivity, and uniqueness of its solutions, the derivation of the basic reproductive number (R0), stability analysis of the disease-free equilibrium (DFE), sensitivity analysis is conducted to determine the impact of the parameters on R0. The model is extended to include optimal control variables that represent interventions aimed at reducing HBV transmission and minimizing associated costs. Several control strategies are presented supported by numerical simulations and graphical results.

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