On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations

Mutaz Mohammad; Alexander Trounev

doi:10.1016/j.chaos.2020.110171

On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations

Chaos Solitons Fractals. 2020 Nov:140:110171. doi: 10.1016/j.chaos.2020.110171. Epub 2020 Jul 28.

Authors

Mutaz Mohammad¹, Alexander Trounev²

Affiliations

¹ Zayed University, United Arab Emirates.
² Kuban State Agrarian University, Russia.

Abstract

In this paper, we present a novel fractional order COVID-19 mathematical model by involving fractional order with specific parameters. The new fractional model is based on the well-known Atangana-Baleanu fractional derivative with non-singular kernel. The proposed system is developed using eight fractional-order nonlinear differential equations. The Daubechies framelet system of the model is used to simulate the nonlinear differential equations presented in this paper. The framelet system is generated based on the quasi-affine setting. In order to validate the numerical scheme, we provide numerical simulations of all variables given in the model.

Keywords: Daubechies wavelet; Fractional differential equations; Mathematical model; Novel coronavirus; Tight frame.