Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model

Document Type : Research Paper

Authors

1 1. Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman.\\ 2. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.

2 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.

3 Basic Science Department, Al-Safwa High Institute of Engineering, Egypt.

4 Higher Technological Institute, Tenth of Ramadan City, Egypt.

Abstract

In this article, we propose an optimal control of the hepatitis B virus (HBV) infection model. We use four control functions in this model to show the effect of quarantine, vaccination, treatment, and rapid testing in minimizing the infection between individuals. We apply Pontryagin’s maximum principle to study these four controls. We solve the mathematical model without control and after adding control functions using by finite difference scheme. We show the results graphically. In addition, we study the HBV spatio-temporal model numerically and discuss the truncation error and the stability of its numerical scheme.

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Main Subjects

Computational Methods for Differential Equations
Volume 14, Issue 1
January 2026
Pages 95-109

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History

  • Receive Date: 09 January 2024
  • Revise Date: 04 October 2024
  • Accept Date: 08 October 2024

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