  In this article, we develop a deterministic compartmental model including the
spatio-temporal aspect and the wearing of masks by the general public for the
spread of the Covid-19 epidemic. This model is based on the SIR model of
Kermack and McKendrick and includes mobility terms that model the movement of
individuals wearing masks between Guadeloupe andMartinique. The objective of
the model is to analyze the effects of mobility and the wearing of masks by the
general public on the spread of the Covid-19 epidemic in these two
regions.Numerical simulations of this model show the importance of wearing
masks by the general public, even if they are not very inefficient, and
indicate that the model is capable of qualitatively simulating the propagation
trends of the Covid-19 epidemic. This work is part ofmy doctoral thesis, the
subject of which is entitled {\guillemotleft} stochastic modeling of Covid-19
in an island environment taking into account the spatio-temporal aspect
{\guillemotright}.
