A numerical investigation for the COVID-19 spatiotemp oral lockdown-vaccination model

被引:0
|
作者
Koura, Ahmed F. [1 ]
Raslan, Kamal R. [2 ]
Ali, Khalid K. [2 ]
Shaalan, Mohamed Abozeid [3 ]
机构
[1] Basic Sci Dept, Al Safwa High Inst Engn, New Al Obour City, Egypt
[2] Al Azhar Univ, Fac Sci, Dept Math, Nasr City, Cairo, Egypt
[3] Higher Technol Inst, Tenth Of Ramadan City, Egypt
来源
关键词
COVID-19 mathematical model; Reproduction number; Sensitivity analysis; Central finite method; Runge Kutta of fifth order method; Von-Neumann stability;
D O I
10.22034/cmde.2024.57085.2388
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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-temp oral 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-temp oral model. We examine and compare the numerical results of the proposed models under various parameters.
引用
收藏
页码:669 / 686
页数:18
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