University of Tabriz Computational Methods for Differential Equations 2345-3982 12 4 2024 09 01 A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model 669 686 17808 10.22034/cmde.2024.57085.2388 EN Ahmed F. Koura Basic Science Department, Al-Safwa High Institute of Engineering, Egypt. Kamal R. Raslsn Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt. Khalid K. Ali Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt. Mohamed Abozeid Shaalan Higher Technological Institute, Tenth of Ramadan City, Egypt. Journal Article 2023 06 12 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. https://cmde.tabrizu.ac.ir/article_17808_9b62db862b565728afd33ce3642690a4.pdf