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In this paper we propose a macro-dynamic age-structured set-up for theanalysis of epidemics/economic dynamics in continuous time. The resultingoptimal control problem is reformulated in an infinite dimensional Hilbertspace framework where we perform the basic steps of dynamic programmingapproach. Our main result is a verification theorem which allows to guess thefeedback form of optimal strategies. This will be a departure point to discussthe behavior of the models of the family we introduce and their policyimplications.

Verification Results for Age-Structured Models of Economic-Epidemics Dynamics