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

Author

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  • Giorgio Fabbri

    (GAEL - Laboratoire d'Economie Appliquée de Grenoble - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - UGA - Université Grenoble Alpes - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - UGA - Université Grenoble Alpes)

  • Fausto Gozzi

    (LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma])

  • Giovanni Zanco

    (LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma])

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.

Suggested Citation

  • Giorgio Fabbri & Fausto Gozzi & Giovanni Zanco, 2021. "Verification results for age-structured models of economic–epidemics dynamics," Post-Print halshs-03038968, HAL.
    • Handle: RePEc:hal:journl:halshs-03038968
    DOI: 10.1016/j.jmateco.2020.102455
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03038968v2
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    Cited by:

    1. Augeraud-Véron, Emmanuelle & Fabbri, Giorgio & Schubert, Katheline, 2021. "Prevention and mitigation of epidemics: Biodiversity conservation and confinement policies," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    2. Natali Hritonenko & Yuri Yatsenko, 2024. "Analysis of optimal lockdown in integral economic–epidemic model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 235-259, February.
    3. Raouf Boucekkine & Shankha Chakraborty & Aditya Goenka & Lin Liu, 2024. "A Brief Tour of Economic Epidemiology Modelling," LIDAM Discussion Papers IRES 2024002, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    4. Daria Ghilli & Cristiano Ricci & Giovanni Zanco, 2024. "A mean field game model for COVID-19 with human capital accumulation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 533-560, February.
    5. Giovanni Bonaccorsi & Francesco Scotti & Andrea Flori & Fabio Pammolli, 2023. "Balancing health and economic impacts from targeted pandemic restrictions," Journal of Evolutionary Economics, Springer, vol. 33(4), pages 1047-1083, September.
    6. Boucekkine, Raouf & Chakraborty, Shankha & Goenka, Aditya & Liu, Lin, 2024. "Economic epidemiological modelling: A progress report," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    7. Alessandro Calvia & Fausto Gozzi & Francesco Lippi & Giovanni Zanco, 2024. "A simple planning problem for COVID-19 lockdown: a dynamic programming approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 169-196, February.
    8. Andy Dobson & Cristiano Ricci & Raouf Boucekkine & Giorgio Fabbri & Ted Loch-Temzelides & Mercedes Pascual, 2023. "Balancing economic and epidemiological interventions in the early stages of pathogen emergence," Post-Print hal-04150117, HAL.

    More about this item

    Keywords

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    JEL classification:

    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • I10 - Health, Education, and Welfare - - Health - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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