  In this study, we present an epidemic-controlled SIRD model with two types of
control strategies: mask wear and screening. The aim of this study is to
minimize the number of deceased keeping a minimal cost of mask advertising and
screening. The model is proved to be well-posed and to have an invariant
region. Also, a thorough study of the dynamics is effected and the basic
reproduction number is used to study the stability of the steady states of the
model. As for the optimal control analysis, the existence of an optimal control
was checked. Then its characterization was carried out using Pontryagin's
minimum principle. Numerical simulations are conducted after that with
different values of maximal screening for comparison. The findings of the
optimal control analysis and numerical simulations both reveal that the optimal
pair of strategies contribute enormously in lowering the number of infected and
dead individuals. Although zero infection is not achieved in the population,
this study implies that carrying an optimal approach constitutes a major step
in controlling the spread of the disease to the barest minimum that can buy
time for middle and low-income countries to carry on with their vaccination
strategies.
