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

Giorgio Fabbri, Fausto Gozzi and Giovanni Zanco
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Giovanni Zanco: LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma]

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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.

Keywords: COVID-19; Epidemiological dynamics; Macro-dynamic models; Hilbert spaces; Verification theorem (search for similar items in EconPapers)
Date: 2021
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03038968v2
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Citations: View citations in EconPapers (4)

Published in Journal of Mathematical Economics, 2021, 93 (March), ⟨10.1016/j.jmateco.2020.102455⟩

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Related works:
Journal Article: Verification results for age-structured models of economic–epidemics dynamics (2021)
Working Paper: Verification Results For Age-Structured Models Of Economic-Epidemics Dynamics (2021)
Working Paper: Verification Results for Age-Structured Models of Economic-Epidemics Dynamics (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-03038968

DOI: 10.1016/j.jmateco.2020.102455

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