Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model
نویسندگان
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.
4 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.
doi
10.22034/cmde.2024.60011.2557چکیده
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.
