Mathematical and Physical Sciences

Mathematical Modeling and Analysis of Transmission Dynamics and Control of Hepatitis B Virus

Download with this URL: https://globalskillshub.co.uk/article-9

Abstract

Hepatitis B virus (HBV) infection remains a significant global public health challenge,

contributing to high morbidity and mortality rates worldwide. This study develops and

analyzes a deterministic compartmental

model to investigate the transmission dynamics

and control of HBV. The total population is stratified into seven epidemiological compartments to capture key biological and intervention processes. The model’s disease-free

equilibrium (DFE) and endemic equilibrium points are derived, and the basic reproduction

number (R0) is computed using the Diekmann-Heesterbeek-Metz next-generation matrix

method. The stability analysis shows that the DFE is locally asymptotically stable when

R0 1 and unstable when R0 1. The sensitivity analysis reveals that parameters

related to transmission, vaccination and treatment significantly influence R0. This highlights the importance of these parameters in HBV control. The numerical simulations

demonstrate the impacts of key epidemiological parameters, particularly the waning immunity rate and recovery rate from acute infection on the disease persistence. The findings

provide valuable insights to support public health interventions and inform policy actions

toward the global control of HBV.

Keywords: Hepatitis B Virus (HBV), Mathematical Modeling, Stability Analysis,