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A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel
Ahmed Boudaoui1, Yacine El Hadj Moussa2, Zakia Hammouch3,4,5
1Laboratory of Mathematics Modeling and Applications, University of Adrar, National Road No. 06, 01000, Adrar, Algeria.
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.
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