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.

Verification results for age-structured models of economic-epidemics dynamics / Fabbri, Giorgio; Gozzi, Fausto; Zanco, Giovanni Alessandro. - In: JOURNAL OF MATHEMATICAL ECONOMICS. - ISSN 0304-4068. - 93:(2021), pp. 1-11. [10.1016/j.jmateco.2020.102455]

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

Fausto Gozzi;Giovanni Alessandro Zanco
2021

Abstract

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.
COVID-19, macro-dynamic models, epidemiological dynamics, Hilbert spaces, verification theorem.
Verification results for age-structured models of economic-epidemics dynamics / Fabbri, Giorgio; Gozzi, Fausto; Zanco, Giovanni Alessandro. - In: JOURNAL OF MATHEMATICAL ECONOMICS. - ISSN 0304-4068. - 93:(2021), pp. 1-11. [10.1016/j.jmateco.2020.102455]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11385/199459
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