  Coronavirus disease 2019 (COVID-19) poses a great threat to public health and
the economy worldwide. Currently, COVID-19 evolves in many countries to a
second stage, characterized by the need for the liberation of the economy and
relaxation of the human psychological effects. To this end, numerous countries
decided to implement adequate deconfinement strategies. After the first
prolongation of the established confinement, Morocco moves to the deconfinement
stage on May 20, 2020. The relevant question concerns the impact on the
COVID-19 propagation by considering an additional degree of realism related to
stochastic noises due to the effectiveness level of the adapted measures. In
this paper, we propose a delayed stochastic mathematical model to predict the
epidemiological trend of COVID-19 in Morocco after the deconfinement. To ensure
the well-posedness of the model, we prove the existence and uniqueness of a
positive solution. Based on the large number theorem for martingales, we
discuss the extinction of the disease under an appropriate threshold parameter.
Moreover, numerical simulations are performed in order to test the efficiency
of the deconfinement strategies chosen by the Moroccan authorities to help the
policy makers and public health administration to make suitable decisions in
the near future.
