FRACTIONAL-ORDER MATHEMATICAL MODELING OF COVID-19 DYNAMICS WITH DIFFERENT TYPES OF TRANSMISSION

This paper investigates the novel coronavirus (COVID-19) infec-tion system with a mathematical model presented with the Caputo derivative. We calculate equilibrium points and discuss their stability. We also go through the existence and uniqueness of a nonnegative solution for the system under study. We obtain numerical simulations for different order derivatives using the Fractional Natural Decomposition Method (FNDM) to understand better the dynamical structures of the physical behavior of COVID-19. The novel fractional model outperforms the existing integer-order model with ordinary temporal derivatives according to results from real-world clinical data. This behavior is based on the COVID-19 mathematical model's available features. The mathematical model is composed of real data reported from Morocco.