Optimal prevention and elimination of infectious diseases
Autor: | Hippolyte d'Albis, Emmanuelle Augeraud-Véron |
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Přispěvatelé: | Paris School of Economics (PSE), École des Ponts ParisTech (ENPC)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université Paris 1 Panthéon-Sorbonne (UP1)-Centre National de la Recherche Scientifique (CNRS)-École des hautes études en sciences sociales (EHESS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Paris Jourdan Sciences Economiques (PJSE), Université Paris 1 Panthéon-Sorbonne (UP1)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-École des hautes études en sciences sociales (EHESS)-École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Groupe de Recherche en Economie Théorique et Appliquée (GREThA), Centre National de la Recherche Scientifique (CNRS)-Université de Bordeaux (UB), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS) |
Rok vydání: | 2021 |
Předmět: |
Economics and Econometrics
Discounting Applied Mathematics 05 social sciences Disease [SHS.ECO]Humanities and Social Sciences/Economics and Finance Optimal control JEL: I - Health Education and Welfare/I.I1 - Health/I.I1.I18 - Government Policy • Regulation • Public Health JEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C61 - Optimization Techniques • Programming Models • Dynamic Analysis 8. Economic growth 0502 economics and business Intergenerational equity Economics Econometrics Infectious diseases 050206 economic theory Optimal growth Productivity 050205 econometrics |
Zdroj: | Journal of Mathematical Economics Journal of Mathematical Economics, Elsevier, 2021, 93, pp.102487. ⟨10.1016/j.jmateco.2021.102487⟩ |
ISSN: | 0304-4068 |
DOI: | 10.1016/j.jmateco.2021.102487 |
Popis: | International audience; This article studies the optimal intertemporal allocation of resources devoted to the prevention of deterministic infectious diseases that admit an endemic steady-state. Under general assumptions, the optimal control problem is shown to be formally similar to an optimal growth model with endogenous discounting. The optimal dynamics then depends on the interplay between the epidemiological characteristics of the disease, the labor productivity and the degree of intergenerational equity. Phase diagrams analysis reveals that multiple trajectories, which converge to endemic steady-states with or without prevention or to the elimination of the disease, are feasible. Elimination implies initially a larger prevention than in other trajectories, but after a finite date, prevention is equal to zero. This “sooner-the-better” strategy is shown to be optimal if the pure discount rate is sufficiently low. |
Databáze: | OpenAIRE |
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