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A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 فروردین 1403 اصل مقاله (2.68 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.57085.2388 | ||
| نویسندگان | ||
| Ahmed F. Koura1؛ Kamal R. Raslsn2؛ khalid k. Ali* 2؛ Mohamed Abozeid Shaalan3 | ||
| 1Basic Science Department, Al-Safwa High Institute of Engineering, Egypt. | ||
| 2Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt. | ||
| 3Higher Technological Institute, Tenth of Ramadan City, Egypt. | ||
| چکیده | ||
| The present article investigates a numerical analysis of COVID-19 (temporal and spatio-temporal) lockdown-vaccination models. The proposed models consist of six nonlinear ordinary differential equations as a temporal model and six nonlinear partial differential equations as a spatio-temporal model. The evaluation of reproduction number is a forecast spread of the COVID-19 pandemic. Sensitivity analysis is used to emphasize the importance of pandemic parameters. We show the stability regions of the disease-free equilibrium point and pandemic equilibrium point. We use effective methods such as central finite difference (CFD) and Runge-Kutta of fifth order (RK-5). We apply Von-Neumann stability and consistency of the numerical scheme for the spatio-temporal model. We examine and compare the numerical results of the proposed models under various parameters. | ||
| کلیدواژه‌ها | ||
| COVID-19 mathematical model؛ Reproduction number؛ Sensitivity analysis؛ Central finite method؛ Runge Kutta of fifth order method | ||
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آمار تعداد مشاهده مقاله: 18 تعداد دریافت فایل اصل مقاله: 29 |
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