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Koura, Ahmed, Raslsn, Kamal, k. Ali, khalid, Shaalan, Mohamed. (1403). A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model. سامانه مدیریت نشریات علمی, 12(4), 669-686. doi: 10.22034/cmde.2024.57085.2388
Ahmed F. Koura; Kamal R. Raslsn; khalid k. Ali; Mohamed Abozeid Shaalan. "A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model". سامانه مدیریت نشریات علمی, 12, 4, 1403, 669-686. doi: 10.22034/cmde.2024.57085.2388
Koura, Ahmed, Raslsn, Kamal, k. Ali, khalid, Shaalan, Mohamed. (1403). 'A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model', سامانه مدیریت نشریات علمی, 12(4), pp. 669-686. doi: 10.22034/cmde.2024.57085.2388
Koura, Ahmed, Raslsn, Kamal, k. Ali, khalid, Shaalan, Mohamed. A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model. سامانه مدیریت نشریات علمی, 1403; 12(4): 669-686. doi: 10.22034/cmde.2024.57085.2388

A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model

Computational Methods for Differential Equations
مقاله 3، دوره 12، شماره 4، دی 2024، صفحه 669-686    اصل مقاله (1.93 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-tempora) 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؛ Von-Neumann stability
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