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AbstractWe wondered that if a reaction-diffusion model considering only the mean daily movement of susceptible, exposed and asymptomatic individuals was enough to describe the spread of the COVID-19 virus. The model was calibrated using data on the confirmed infection and death from France as well as their initial spatial distribution. First, the system of partial differential equations is studied, then the basic reproduction number, 0 is derived. Second, numerical simulations, based on adoi:10.1515/cmb-2020-0104 fatcat:fxmfa6qpsvgqhcduiy7zesklyq