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Matematicheskaya Biologiya i Bioinformatika, 2021, Volume 16, Issue 1, Pages 39–56
DOI: https://doi.org/10.17537/2021.16.39 (Mi mbb457) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Mathematical Modeling

A fractional epidemic model with Mittag-Leffler kernel for COVID-19

Hassan Aghdaouia, Mouhcine Tiliouaa, Kottakkaran Sooppy Nisarb, Ilyas Khanc

a MAMCS Group, FST Errachidia, Moulay Ismail University of Meknes, P.O. Box 509 Boutalamine, 52000, Errachidia, Morocco
b Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia
c Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
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DOI: https://doi.org/10.17537/2021.16.39
Abstract: The aim is to explore a COVID-19 SEIR model involving Atangana-Baleanu Caputo type (ABC) fractional derivatives. Existence, uniqueness, positivity, and boundedness of the solutions for the model are established. Some stability results of the proposed system are also presented. Numerical simulations results obtained in this paper, according to the real data, show that the model is more suitable for the disease evolution.
Key words: epidemic model, SEIR, COVID-19, incidence rate, equilibrium points, ABC fractional derivative, existence and uniqueness, numerical simulations.
Funding agency Grant number
Centre National pour la Recherche Scientifique et Technique
H. A. and M. T. are grateful to the support of the Moroccan MENFPESRS/CNRST through the Scientific and Technological Research Support Program “Analyse épidémique du COVID-19 au Maroc par modélisation dynamique et intelligence artifice.
Received 19.02.2021, 18.04.2021, Published 08.05.2021
Document Type: Article
Language: English
Citation: Hassan Aghdaoui, Mouhcine Tilioua, Kottakkaran Sooppy Nisar, Ilyas Khan, “A fractional epidemic model with Mittag-Leffler kernel for COVID-19”, Mat. Biolog. Bioinform., 16:1 (2021), 39–56
Citation in format AMSBIB
\Bibitem{AghTilNis21}
\by Hassan~Aghdaoui, Mouhcine~Tilioua, Kottakkaran~Sooppy~Nisar, Ilyas~Khan
\paper A fractional epidemic model with Mittag-Leffler kernel for COVID-19
\jour Mat. Biolog. Bioinform.
\yr 2021
\vol 16
\issue 1
\pages 39--56
\mathnet{http://mi.mathnet.ru/mbb457}
\crossref{https://doi.org/10.17537/2021.16.39}
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