Dynamic analysis of the mathematical model of COVID-19 with demographic effects

Naeem Faraz; Yasir Khan; E. F. Doungmo Goufo; Amna Anjum; Ali Anjum

doi:10.1515/znc-2020-0121

Article

Dynamic analysis of the mathematical model of COVID-19 with demographic effects

Naeem Faraz , Yasir Khan , E. F. Doungmo Goufo , Amna Anjum and Ali Anjum

Published/Copyright: September 13, 2020

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From the journal Zeitschrift für Naturforschung C Volume 75 Issue 11-12

Abstract

The coronavirus is currently extremely contagious for humankind, which is a zoonotic tropical disease. The pandemic is the largest in history, affecting almost the whole world. What makes the condition the worst of all is no specific effective treatment available. In this article, we present an extended and modified form of SIR and SEIR model, respectively. We begin by investigating a simple mathematical model that describes the pandemic. Then we apply different safety measures to control the pandemic situation. The mathematical model with and without control is solved by using homotopy perturbation method. Obtained solutions have been presented graphically. Finally, we develop another mathematical model, including quarantine and hospitalization.

Keywords: COVID-19; homotopy method; mathematical model; mathematical model with and without control; pandemic

Corresponding authors: Naeem Faraz, International Cultural Exchange School, Donghua University, West Yanan Road 1882, Shanghai 200051, PR China, E-mail: nfaraz_math@yahoo.com; and Yasir Khan, Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia, E-mail: yasirmath@yahoo.com

Funding source: University of Hafr Al-Batin

Award Identifier / Grant number: G-108-2020

Acknowledgment

The authors are grateful to the referees, whose comments and suggestions improved the presentation and value of the article. The authors extend their appreciation to the Deanship of Scientific Research, University of Hafr Al-Batin for funding this work through the research group project no. (G-108-2020).

Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: The work was supported by the Deanship of Scientific Research, University of Hafr Al-Batin through the research group project no. (G-108-2020).
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-06-08

Accepted: 2020-08-22

Published Online: 2020-09-13

Published in Print: 2020-11-26

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Articles in the same Issue

https://doi.org/10.1515/znc-2020-0121

Keywords for this article

COVID-19; homotopy method; mathematical model; mathematical model with and without control; pandemic