A numerical investigation for the COVID-۱۹ spatiotemporal lockdown-vaccination model

The present article investigates a numerical analysis of COVID-۱۹ (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-۱۹ 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-۵). 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.

Keywords:

COVID-۱۹ mathematical model , Reproduction number , Sensitivity analysis , Central finite method , Runge Kutta of fifth order method , Von-Neumann stability