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Tytuł pozycji:

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

Tytuł :
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation.
Autorzy :
Mohammad M; Zayed University, Abu Dhabi, United Arab Emirates.
Trounev A; Kuban State Agrarian University, Krasnodar, Russia.
Cattani C; Engineering School, Viterbo, Italy.
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Źródło :
Advances in difference equations [Adv Differ Equ] 2021; Vol. 2021 (1), pp. 115. Date of Electronic Publication: 2021 Feb 19.
Typ publikacji :
Journal Article
Język :
Imprint Name(s) :
Publication: 2012- : Heidelberg : SpringerOpen
Original Publication: Cairo : Hindawi Publishing Corporation, 2004-
References :
Chaos Solitons Fractals. 2020 Sep;138:109991. (PMID: 32565621)
Entropy (Basel). 2020 Jul 28;22(8):. (PMID: 33286595)
Physica D. 2021 Jan;415:132753. (PMID: 33024345)
Biology (Basel). 2020 May 21;9(5):. (PMID: 32455617)
Chaos Solitons Fractals. 2020 Nov;140:110171. (PMID: 32834652)
Contributed Indexing :
Keywords: Fractional differential equations; Mathematical model; Novel coronavirus; Riesz wavelet system; Smoothed pseudosplines
Entry Date(s) :
Date Created: 20210224 Latest Revision: 20210225
Update Code :
PubMed Central ID :
Czasopismo naukowe
The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared 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 Arab Emirates (UAE), up to the same date, there are 14,730 positive cases and 137 deaths according to national authorities. In this work, we study a dynamical model based on the fractional derivatives 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 pseudosplines of types I and II with high vanishing moments. Based on these data, we also consider the formulation of the pandemic model using the Caputo fractional derivative. Then we numerically solve the nonlinear system that describes the dynamics of COVID-19 with given resources based on the collocation Riesz wavelet system constructed. We present graphical illustrations of the numerical solutions with parameters of the model handled under different situations. We anticipate that these results will contribute to the ongoing research to reduce the spreading of the virus and infection cases.
(© The Author(s) 2021.)

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