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Related Experiment Video

Updated: Sep 24, 2025

Author Spotlight: Advancements and Challenges in Hepatitis B Virus Detection

Author Spotlight: Advancements and Challenges in Hepatitis B Virus Detection

Published on: December 15, 2023

Global stability analysis of hepatitis B virus dynamics.

Olajumoke Oludoun¹, Olukayode Adebimpe¹, James Ndako²

¹Department of Physical Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria.

|May 10, 2022

Summary

Hepatitis B virus (HBV) transmission can be effectively controlled through spontaneous clearance, full immunity recovery in chronic individuals, and reducing risk factors. These interventions significantly regulate and limit HBV spread, offering a viable control strategy.

Keywords:

Hepatitis B Lyapunov method global stability mathematical model positivity and existence sensitivity simulation

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Area of Science:

Epidemiology
Mathematical Biology
Virology

Background:

Hepatitis B virus (HBV) poses a significant global health challenge.
Understanding transmission dynamics is crucial for effective control strategies.

Purpose of the Study:

To analyze the impact of spontaneous clearance, recovery with immunity, and risk factor reduction on HBV transmission dynamics.
To establish the mathematical model's solution existence and positivity.
To determine the model's threshold quantity and analyze parameter sensitivity.

Main Methods:

Mathematical modeling of HBV transmission.
Analysis of model equilibrium existence, positivity, and global stability using Lyapunov and comparison theorems.
Sensitivity analysis to identify key parameters influencing HBV spread.
Computational simulations for validation.

Main Results:

The study established the existence and positivity of the HBV model solutions.
Sensitivity analysis revealed critical parameters affecting HBV transmission.
Global stability analysis confirmed the long-term behavior of the model.
Computational simulations validated the analytical findings.

Conclusions:

Spontaneous clearance, recovery with full immunity, and risk factor reduction are effective in controlling HBV transmission.
These factors play a vital role in regulating and mitigating the spread of Hepatitis B virus.
The findings provide a strong basis for implementing targeted interventions against HBV.