A numerical and analytical study of SE(Is)(Ih)AR epidemic fractional order COVID-19 model

Hasib Khan; Razia Begum; Thabet Abdeljawad; M Motawi Khashan

doi:10.1186/s13662-021-03447-0

A numerical and analytical study of SE(Is)(Ih)AR epidemic fractional order COVID-19 model

Adv Differ Equ. 2021;2021(1):293. doi: 10.1186/s13662-021-03447-0. Epub 2021 Jun 15.

Authors

Hasib Khan¹, Razia Begum¹, Thabet Abdeljawad^{2

3

4}, M Motawi Khashan⁵

Affiliations

¹ Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, Khyber Pakhtunkhwa Pakistan.
² Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
³ Department of Medical Research, China Medical University, Taichung, Taiwan.
⁴ Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan.
⁵ Department of Basic Sciences, Common First Year, King Saud University, Riyadh, 11451 Saudi Arabia.

Abstract

This article describes the corona virus spread in a population under certain assumptions with the help of a fractional order mathematical model. The fractional order derivative is the well-known fractal fractional operator. We have given the existence results and numerical simulations with the help of the given data in the literature. Our results show similar behavior as the classical order ones. This characteristic shows the applicability and usefulness of the derivative and our numerical scheme.

Keywords: Existence and uniqueness of the solutions; Fractal fractional derivatives; Hyers–Ulam stability; Numerical scheme.