A fractional-order model with different strains of COVID-19

Isa Abdullahi Baba; Fathalla A Rihan

doi:10.1016/j.physa.2022.127813

A fractional-order model with different strains of COVID-19

Physica A. 2022 Oct 1:603:127813. doi: 10.1016/j.physa.2022.127813. Epub 2022 Jun 23.

Authors

Isa Abdullahi Baba¹, Fathalla A Rihan^{2

3}

Affiliations

¹ Department of Mathematics, Bayero University, Kano, Nigeria.
² Department of Mathematical Sciences, College of Science, UAE University, Al Ain 15551, United Arab Emirates.
³ Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt.

Abstract

This study examines the dynamics of COVID-19 variants using a Caputo-Fabrizio fractional order model. The reproduction ratio $R_{0}$ and equilibrium solutions are determined. The purpose of this article is to use a non-integer order derivative in order to present information about the model solutions, uniqueness, and existence using a fixed point theory. A detailed analysis of the existence and uniqueness of the model solution is conducted using fixed point theory. For the computation of the iterative solution of the model, the fractional Adams-Bashforth method is used. Using the estimated values of the model parameters, numerical results are used to support the significance of the fractional-order derivative. The graphs provide useful information about the complexity of the model, and provide reliable information about the model for any case, integer or non-integer. Also, we demonstrate that any variant with the largest basic reproduction ratio will automatically outperform the other variant.

Keywords: Adams–Bashforth technique; COVID-19 variants; Caputo–Fabrizio; Existence and uniqueness; Numerical scheme.