  A reaction-diffusion model was developed describing the spread of the
COVID-19 virus considering the mean daily movement of susceptible, exposed and
asymptomatic individuals. 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, R0 is derived. Second, numerical simulations, based on a
combination of level-set and finite differences, shown the spatial spread of
COVID-19 from March 16 to June 16. Finally, scenarios of unlockdown are
compared according to variation of distancing, or partially spatial lockdown.
