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

Ahmed Boudaoui, Yacine El hadj Moussa, Zakia Hammouch and Saif Ullah

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

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: Epidemic model; COVID-19 pandemic; Caputo–Fabrizio fractional derivative; Existence and uniqueness; Isolation; Quarantine; Numerical simulation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002125

DOI: 10.1016/j.chaos.2021.110859

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