# Mathematical Modeling and Analysis for COVID-19 Model by Using Implicit-Explicit Rung-Kutta Methods

## Authors

• Mardan Ameen Pirdawood Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region, Iraq
• Hemn Mohammed Rasool Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region, Iraq
• Younis Abid Sabawi Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region, Iraq
• Berivan Faris Azeez Department of Mathematics, Faculty of Science and Health, Koya University, Kurdistan Region, Iraq

## Abstract

One of the most common health care problems globally is COVID-19, and also there are an international effort to monitor it have been proposed and discussed. Despite the fact that many studies have been performed based on clinical evidence and confirmed infected cases. However, there is room for additional research since a range of complex criteria are included for later research forecast. As a consequence, mathematical modelling mixed with the numerical simulations is an effective method for estimating main propagation parameters and forecasting disease model dynamics. We study and present some models for the COVID-19 in this paper, which can answer significant questions concerning global health care and implement important notes. The IMEX Runge–Kutta and classical Runge–Kutta methods are two well-known computational schemes to find the solution for such system of differential equations. The results, which are based on these numerical procedures suggested and provide estimated solutions, provide critical answers to this global problem. The amount of recovered, infected, susceptible, and quarantined people in the expectation can be estimated using numerical data. The findings could also aid international efforts to increase prevention and strengthen intervention programs.  The findings could also support international efforts to increase prevention and strengthen intervention programs. It is clearly that the proposed methods more accurate and works in a very large interval in time with a few step sizes. That is consequently beginning to a decrease in the computational price of the method. Numerical experiments show that there is a good argument and accurate solutions for solving this type of problem.

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2022-06-08

## How to Cite

Ameen Pirdawood, M., Mohammed Rasool, H., Abid Sabawi, Y., & Faris Azeez, B. (2022). Mathematical Modeling and Analysis for COVID-19 Model by Using Implicit-Explicit Rung-Kutta Methods. Academic Journal of Nawroz University, 11(3), 65–73. https://doi.org/10.25007/ajnu.v11n3a1244

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