Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

Harendra Singh; H M Srivastava; Zakia Hammouch; Kottakkaran Sooppy Nisar

doi:10.1016/j.rinp.2020.103722

Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

Results Phys. 2021 Jan:20:103722. doi: 10.1016/j.rinp.2020.103722. Epub 2020 Dec 25.

Authors

Harendra Singh¹, H M Srivastava^{2

3

4}, Zakia Hammouch⁵, Kottakkaran Sooppy Nisar⁶

Affiliations

¹ Department of Mathematics, Post-Graduate College, Ghazipur 233001, Uttar Pradesh, India.
² Department of Mathematics and Statistics, University of Victoria, British Columbia V8W 3R4, Canada.
³ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan.
⁴ Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan.
⁵ Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Taiwan.
⁶ Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, 11991 Wadi Aldawasir, Saudi Arabia.

Abstract

The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.

Keywords: Corona virus model; Fractional derivatives; Stability analysis.