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

Document Type : Research Paper

Authors

1 Basic Science Department, Al-Safwa High Institute of Engineering, Egypt.

2 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.

3 Higher Technological Institute, Tenth of Ramadan City, Egypt.

Abstract

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.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 17 April 2024

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History

  • Receive Date: 12 June 2023
  • Revise Date: 20 February 2024
  • Accept Date: 27 March 2024

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