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2021
- handle: 10670/1.5he4h9
- halshs: halshs-03038968
- doi: 10.1016/j.jmateco.2020.102455
- PUBMED: 33519025
- WOS: 000632511100014
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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmateco.2020.102455
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info:eu-repo/semantics/altIdentifier/pmid/33519025
info:eu-repo/semantics/OpenAccess
Mots-clés
COVID-19 Epidemiological dynamics Macro-dynamic models Hilbert spaces Verification theorem C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C61 - Optimization Techniques • Programming Models • Dynamic Analysis I - Health, Education, and Welfare/I.I1 - Health/I.I1.I10 - General E - Macroeconomics and Monetary Economics/E.E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook/E.E6.E60 - GeneralSujets proches
Kinetics Dynamical systemsCiter ce document
Giorgio Fabbri et al., « Verification results for age-structured models of economic–epidemics dynamics », HAL-SHS : économie et finance, ID : 10.1016/j.jmateco.2020.102455
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Résumé
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.