The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation

Abstract

The well-known novel virus (COVID-19) is a new strain of coronavirus which considered by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused by COVID-19 and has affected more than 280 countries over the world. Therefore, studying the prediction of this virus spreading in further attracts a major public attention. In the United Arab Emirates (UAE), up to same date, there are 14730 positive cases and 137 deaths according to national authorities. In this work, we study a dynamical model based on fractional derivative of nonlinear equations that describe the outbreak of COVID-19 according to the available infection data announced and approved by the national committee in the press. We simulate the available total cases reported based on Riesz wavelets generated by some refinable functions, namely the smoothed pseudo-splines of type I and II with high vanishing moments. Based on these data, we also consider the formulation of the pandemic model using Caputo fractional derivative definition. We then solve numerically the nonlinear system that describe the dynamics of COVID-19 with the given resources based on the collocation Riesz wavelet system constructed. We present graphical illustrations of the numerical solutions of all parameter of the model being handled under different situations. It is anticipated that these results will contribute to the ongoing research to reduce the spreading of the virus and infection cases.

Simulating COVID-19 Trajectory in the UAE and the Impact of Possible Intervention Scenarios

“…In [5], the authors simulated the dynamics of COVID-19 in the UAE based on fractional derivative modelling using Riesz wavelets. The parameters used in this study were calculated based on official published data of COVID-19 in the UAE, while the dynamic of the virus transmission was considered from other sources due to the fact that the dynamic of the virus transmission from a country to another does not change much.…”

Homotopy Analysis Method for Fractional Barrier Option PDE

“…Most of the practical dynamics phenomena emanated from real life situations were described by fractional calculus, see [1][2][3][4][5][6][7][8][9][10][11][12][13][14], just to mention a few. Highly convergence solution series method under consideration was first applied by [15].…”

A wavelet method for solving Caputo–Hadamard fractional differential equation

“…Some of its applications are as follows (Boutiara et al , 2020; Rehman and Saeed, 2015): fluid dynamics, neural network modeling, fractional biological neurons, models of population growth, dynamic of viscoelastic materials, electromagnetism and biosciences. For more details about applications of fractional differential equations, we refer the readers to Podlubny (1999), Mohammad and Trounev (2020a, b, 2021), Ravichandran et al (2018), Alshbool et al (2021), Mohammad et al (2020, 2021), Gao et al (2020).…”