Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic

M Higazy

doi:10.1016/j.chaos.2020.110007

Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic

Chaos Solitons Fractals. 2020 Sep:138:110007. doi: 10.1016/j.chaos.2020.110007. Epub 2020 Jun 13.

Author

M Higazy^{1

2}

Affiliations

¹ Department of Mathematics and Statistics, Faculty of Science, Taif University, Saudi Arabia.
² Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt.

Abstract

Nowadays, COVID-19 has put a significant responsibility on all of us around the world from its detection to its remediation. The globe suffer from lockdown due to COVID-19 pandemic. The researchers are doing their best to discover the nature of this pandemic and try to produce the possible plans to control it. One of the most effective method to understand and control the evolution of this pandemic is to model it via an efficient mathematical model. In this paper, we propose to model COVID-19 pandemic by fractional order SIDARTHE model which did not appear in the literature before. The existence of a stable solution of the fractional order COVID-19 SIDARTHE model is proved and the fractional order necessary conditions of four proposed control strategies are produced. The sensitivity of the fractional order COVID-19 SIDARTHE model to the fractional order and the infection rate parameters are displayed. All studies are numerically simulated using MATLAB software via fractional order differential equation solver.

Keywords: 41A28; 65D05; 65H10; 65L20; 65P30; 65P40; 65Z05; COVID-19; Coronavirus disease; Fractional optimal control; Fractional order sidarthe model; Lyapunov exponents; Predictor-corrector algorithms for fractional differential equations.