Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method

This research aims to numerically solve a nonlinear initial value problem presented as a system of ordinary differential equations. Our focus is on epidemiological systems in particular. The accurate numerical method that is the Runge-Kutta method of order four has been used to solve this problem th...

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Main Authors: Emad Talal Ghadeer, Maha A. Mohammed
Format: Article
Language:English
Published: University of Baghdad 2022-04-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/2818
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author Emad Talal Ghadeer
Maha A. Mohammed
author_facet Emad Talal Ghadeer
Maha A. Mohammed
author_sort Emad Talal Ghadeer
collection DOAJ
description This research aims to numerically solve a nonlinear initial value problem presented as a system of ordinary differential equations. Our focus is on epidemiological systems in particular. The accurate numerical method that is the Runge-Kutta method of order four has been used to solve this problem that is represented in the epidemic model. The COVID-19 mathematical epidemic model in Iraq from 2020 to the next years is the application under study. Finally, the results obtained for the COVID-19 model have been discussed tabular and graphically. The spread of the COVID-19 pandemic can be observed via the behavior of the different stages of the model that approximates the behavior of actual the COVID-19 epidemic in Iraq. In our study, the COVID-19 pandemic will disappear during the next few years within about five years, through the behavior of all stages of the epidemic presented in our research.
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spelling doaj.art-f2578eafa48e4e5f9fdb1c28bb6a337f2022-12-22T02:54:06ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072022-04-013529710710.30526/35.2.28184189Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical MethodEmad Talal Ghadeer0Maha A. Mohammed1Department of Mathematics, College of Education for Pure Science / Ibn al-Haytham University of Baghdad, Baghdad, Iraq.Mathematical Department, Pure Faculty of Education Sciences/ Ibn AL-Haitham Education, Baghdad UniversityThis research aims to numerically solve a nonlinear initial value problem presented as a system of ordinary differential equations. Our focus is on epidemiological systems in particular. The accurate numerical method that is the Runge-Kutta method of order four has been used to solve this problem that is represented in the epidemic model. The COVID-19 mathematical epidemic model in Iraq from 2020 to the next years is the application under study. Finally, the results obtained for the COVID-19 model have been discussed tabular and graphically. The spread of the COVID-19 pandemic can be observed via the behavior of the different stages of the model that approximates the behavior of actual the COVID-19 epidemic in Iraq. In our study, the COVID-19 pandemic will disappear during the next few years within about five years, through the behavior of all stages of the epidemic presented in our research.https://jih.uobaghdad.edu.iq/index.php/j/article/view/2818
spellingShingle Emad Talal Ghadeer
Maha A. Mohammed
Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method
Ibn Al-Haitham Journal for Pure and Applied Sciences
title Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method
title_full Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method
title_fullStr Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method
title_full_unstemmed Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method
title_short Solving Nonlinear COVID-19 Mathematical Model Using a Reliable Numerical Method
title_sort solving nonlinear covid 19 mathematical model using a reliable numerical method
url https://jih.uobaghdad.edu.iq/index.php/j/article/view/2818
work_keys_str_mv AT emadtalalghadeer solvingnonlinearcovid19mathematicalmodelusingareliablenumericalmethod
AT mahaamohammed solvingnonlinearcovid19mathematicalmodelusingareliablenumericalmethod