Abstract
Since the onset of the COVID-19 epidemic, the world has been impressed by two things: The number of infections and the alarming death toll. Here, we propose a mathematical model of the spread of this disease, analyze this model mathemati-cally, and determine one or more dominant factors in the propagation of theCOVID-19 epidemic. We consider the SIR epidemic model in the form of ordinary differential equations in a population structured in susceptible S, infected I,and recovered R classes. After the model construction, we calculated the primary reproduction number R0, which is a function of a certain number of parameters. In our paper, the mathematical analysis, which consists of searching the equilibrium points and studying their stability, is done. The work identifies some parameters on which one can act to control the spread of the disease. The numerical simulations are done for Libya’s data for months, and they illustrate our theoretical analysis.