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This paper presents a non-linear model to simulate and predict the spreading of the newly discovered disease caused by a new series of a Novel Coronavirus (COVID-19). The mathematical modeling in this study is based on the Susceptible Infected Recovery (SIR) model, where key controlling parameters are considered, namely human contact factor b, transmit factor (a), health medication factor (m) and initial infected (I. The simulation results show the effect of these parameters, and their role in spreading the COVID-19. The results also sh