A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

Ahmed Boudaoui; Yacine El Hadj Moussa; Zakia Hammouch; Saif Ullah

doi:10.1016/j.chaos.2021.110859

A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

Chaos Solitons Fractals. 2021 May:146:110859. doi: 10.1016/j.chaos.2021.110859. Epub 2021 Mar 20.

Authors

Ahmed Boudaoui¹, Yacine El Hadj Moussa², Zakia Hammouch^{3

4

5}, Saif Ullah⁶

Affiliations

¹ Laboratory of Mathematics Modeling and Applications, University of Adrar, National Road No. 06, 01000, Adrar, Algeria.
² Department of Probability and Statistics, University Djillali liabes, L.P 89, Sidi Bel Abbes 22000, Algeria.
³ Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam.
⁴ Department of Medical Research, China Medical University Hospital, Taichung, Taiwan.
⁵ Département des Sciences, École Normale Supérieure, Moulay Ismail University of Meknes, Morocco.
⁶ Department of Mathematics, University of Peshawar Khyber Pakhtunkhwa, Pakistan.

Abstract

In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo-Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the Picard-Lindelöf theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics.

Keywords: 26A33; 65D05; 65R20; 93E24; COVID-19 pandemic; Caputo–Fabrizio fractional derivative; Epidemic model; Existence and uniqueness; Isolation; Numerical simulation; Quarantine.