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

Emad Talal  Ghadeer; Maha A. Mohammed

doi:10.30526/35.2.2818

Authors

Emad Talal Ghadeer Department of Mathematics, College of Education for Pure Science / Ibn al-Haytham University of Baghdad, Baghdad, Iraq.
Maha A. Mohammed Mathematical Department, Pure Faculty of Education Sciences/ Ibn AL-Haitham Education, Baghdad University

DOI:

https://doi.org/10.30526/35.2.2818

Abstract

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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