Optimal exit strategy design for COVID-19

In this paper an optimal control design approach is used to compute optimal strategies of intervention in terms of the combined actions of vaccination and social distancing. The aim is to define times and modalities of reduction of the individual limitations compatibly with a cost associated to the epidemic effects on the population healthy, to the social and economic consequences of the containment measures and to the vaccination campaign. A mathematical model, obtained adapting and improving a previously proposed and validated one, is introduced to this control design aim. Simulation results obtained for different choices of costs and constraints are also reported and discussed.