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.
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