  The SEIR model is a compartmental model used to simulate the dynamics of an
epidemic. In this chapter, we introduce two control functions in the
compartmental SEIR model representing vaccination and plasma transfusion.
Optimal control problems are proposed to study the effects of these two control
measures, on the reduction of infected individuals and increase of recovered
ones, with minimal costs. Up to our knowledge, the plasma transfusion treatment
has never been considered as a control strategy for epidemics mitigation. The
proposed vaccination and treatment strategies may have a real application in
the challenging and hard problem of controlling the COVID-19 pandemic.
