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Perturbed fractional dynamic system of reliability of the evolution and diffusion of viruses

Abstract Numerous investigations are introduced to designate the growth dynamic of coronavirus (GDC). We aim to study the dynamic system in view of the fractional calculus in terms of the Caputo-Fabrizio derivative. The flexibility of this operator implies more information and application regarding the dynamic system. Our study will be in two directions, the first one is to suggest the fractional dynamic system without perturbation and the second part is to include a perturbation terms.