  In this study, we present a new epidemiological model, with contamination
from confirmed and unreported. We also compute equilibria and study their
stability without intervention strategies. Optimal control theory has proven to
be a successful tool in understanding ways to curtail the spread of infectious
diseases by devising the optimal disease intervention strategies. We
investigate the impact of distancing, case finding, and case holding controls
while at the same time, we minimize the number of infected and dead
individuals. The method consists of minimizing the cost functional related to
infectious, death, and controls through some strategies to reduce the spread of
the COVID19 epidemic.
