  We consider a compartmental model from which we incorporate a time-dependent
health care capacity having a logistic growth. This allows us to take into
account the Senegalese authorities response in anticipating the growing number
of infected cases. We highlight the importance of anticipation and timing to
avoid overwhelming that could impact considerably the treatment of patients and
the well-being of health care workers. A condition, depending on the health
care capacity and the flux of new hospitalized individuals, to avoid possible
overwhelming is provided. We also use machine learning approach to project
forward the cumulative number of cases from March 02, 2020, until 1st December,
2020.
