Hassan Aghdaoui, Mouhcine Tilioua, Kottakkaran Sooppy Nisar, Ilyas Khan, “A fractional epidemic model with Mittag-Leffler kernel for COVID-19”, Mat. Biolog. Bioinform., 2021, Volume 16, Issue 1,Pages <nobr>39

This article is cited in 10 papers

Mathematical Modeling

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

Hassan Aghdaoui^a, Mouhcine Tilioua^a, Kottakkaran Sooppy Nisar^b, Ilyas Khan^c

^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

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.

Received 19.02.2021, 18.04.2021, Published 08.05.2021

Language: English

DOI: 10.17537/2021.16.39