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Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 مهر 1403 اصل مقاله (1.11 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.60011.2557 | ||
| نویسندگان | ||
| Khalid K. Ali* 1؛ Kamal Raslsn1؛ Ahmed F. Koura2؛ Mohamed Abozeid Shaalan3 | ||
| 1Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt. | ||
| 2Basic Science Department, Al-Safwa High Institute of Engineering, Egypt. | ||
| 3Higher Technological Institute, Tenth of Ramadan City, Egypt. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Hepatitis B virus؛ Optimal control؛ Finite difference method؛ Truncation error؛ Stability | ||
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آمار تعداد مشاهده مقاله: 172 تعداد دریافت فایل اصل مقاله: 245 |
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