  The novel coronavirus disease (COVID-19) pneumonia has posed a great threat
to the world recent months by causing many deaths and enormous economic damage
worldwide. The first case of COVID-19 in Morocco was reported on 2 March 2020,
and the number of reported cases has increased day by day. In this work, we
extend the well-known SIR compartmental model to deterministic and stochastic
time-delayed models in order to predict the epidemiological trend of COVID-19
in Morocco and to assess the potential role of multiple preventive measures and
strategies imposed by Moroccan authorities. The main features of the work
include the well-posedness of the models and conditions under which the
COVID-19 may become extinct or persist in the population. Parameter values have
been estimated from real data and numerical simulations are presented for
forecasting the COVID-19 spreading as well as verification of theoretical
results.
