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

Ali, Khalid K.; Raslsn, Kamal; Koura, Ahmed F.; Shaalan, Mohamed Abozeid

doi:10.22034/cmde.2024.60011.2557

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

Articles in Press

Document Type : Research Paper

Authors

¹ Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.

² Basic Science Department, Al-Safwa High Institute of Engineering, Egypt.

³ Higher Technological Institute, Tenth of Ramadan City, Egypt.

10.22034/cmde.2024.60011.2557

Abstract

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

Keywords