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Ali, Khalid, Raslsn, Kamal, Koura, Ahmed, Shaalan, Mohamed. (1405). Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model. سامانه مدیریت نشریات علمی, 14(1), 95-109. doi: 10.22034/cmde.2024.60011.2557
Khalid K. Ali; Kamal Raslsn; Ahmed F. Koura; Mohamed Abozeid Shaalan. "Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model". سامانه مدیریت نشریات علمی, 14, 1, 1405, 95-109. doi: 10.22034/cmde.2024.60011.2557
Ali, Khalid, Raslsn, Kamal, Koura, Ahmed, Shaalan, Mohamed. (1405). 'Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model', سامانه مدیریت نشریات علمی, 14(1), pp. 95-109. doi: 10.22034/cmde.2024.60011.2557
Ali, Khalid, Raslsn, Kamal, Koura, Ahmed, Shaalan, Mohamed. Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model. سامانه مدیریت نشریات علمی, 1405; 14(1): 95-109. doi: 10.22034/cmde.2024.60011.2557

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

Computational Methods for Differential Equations
مقاله 8، دوره 14، شماره 1، فروردین 2026، صفحه 95-109    اصل مقاله (1.17 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60011.2557
نویسندگان
Khalid K. Ali* 1؛ Kamal Raslsn2؛ Ahmed F. Koura3؛ Mohamed Abozeid Shaalan4
11. 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.
2Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.
3Basic Science Department, Al-Safwa High Institute of Engineering, Egypt.
4Higher Technological Institute, Tenth of Ramadan City, Egypt.
چکیده
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.
کلیدواژه‌ها
Hepatitis B virus؛ Optimal control؛ Spatio-temporal model؛ Finite difference method؛ Truncation error؛ Stability
مراجع
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