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

Authors :
Koura, Ahmed F.
Raslan, Kamal R.
Ali, Khalid K.
Shaalan, Mohamed Abozeid
Source :
Computational Methods for Differential Equations; Oct2024, Vol. 12 Issue 4, p669-686, 18p
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
23453982
Volume :
12
Issue :
4
Database :
Complementary Index
Journal :
Computational Methods for Differential Equations
Publication Type :
Academic Journal
Accession number :
179997001
Full Text :
https://doi.org/10.22034/cmde.2024.57085.2388