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Verification results for age-structured models of economic–epidemics dynamics

Abstract : In this paper we propose a macro-dynamic age-structured setup for the analysis of epidemics/economic dynamics in continuous time. The resulting optimal control problem is reformulated in an infinite dimensional Hilbert space framework where we perform the basic steps of dynamic programming approach. Our main result is a verification theorem which allows to guess the feedback form of optimal strategies. This will be a departure point to discuss the behavior of the models of the family we introduce and their policy implications.
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https://halshs.archives-ouvertes.fr/halshs-03038968
Contributor : Giorgio Fabbri <>
Submitted on : Saturday, December 26, 2020 - 11:21:06 AM
Last modification on : Friday, January 8, 2021 - 2:20:28 PM

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  • HAL Id : halshs-03038968, version 1

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Giorgio Fabbri, Fausto Gozzi, Giovanni Zanco. Verification results for age-structured models of economic–epidemics dynamics. Journal of Mathematical Economics, Elsevier, In press. ⟨halshs-03038968⟩

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