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

In this paper we propose a macro-dynamic age-structured set-up 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...

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Detalles Bibliográficos
Autores principales: Fabbri, Giorgio, Gozzi, Fausto, Zanco, Giovanni
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier B.V. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834896/
https://www.ncbi.nlm.nih.gov/pubmed/33519025
http://dx.doi.org/10.1016/j.jmateco.2020.102455
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author Fabbri, Giorgio
Gozzi, Fausto
Zanco, Giovanni
author_facet Fabbri, Giorgio
Gozzi, Fausto
Zanco, Giovanni
author_sort Fabbri, Giorgio
collection PubMed
description In this paper we propose a macro-dynamic age-structured set-up 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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spelling pubmed-78348962021-01-26 Verification results for age-structured models of economic–epidemics dynamics Fabbri, Giorgio Gozzi, Fausto Zanco, Giovanni J Math Econ Article In this paper we propose a macro-dynamic age-structured set-up 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. Elsevier B.V. 2021-03 2020-12-17 /pmc/articles/PMC7834896/ /pubmed/33519025 http://dx.doi.org/10.1016/j.jmateco.2020.102455 Text en © 2020 Elsevier B.V. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Fabbri, Giorgio
Gozzi, Fausto
Zanco, Giovanni
Verification results for age-structured models of economic–epidemics dynamics
title Verification results for age-structured models of economic–epidemics dynamics
title_full Verification results for age-structured models of economic–epidemics dynamics
title_fullStr Verification results for age-structured models of economic–epidemics dynamics
title_full_unstemmed Verification results for age-structured models of economic–epidemics dynamics
title_short Verification results for age-structured models of economic–epidemics dynamics
title_sort verification results for age-structured models of economic–epidemics dynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834896/
https://www.ncbi.nlm.nih.gov/pubmed/33519025
http://dx.doi.org/10.1016/j.jmateco.2020.102455
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