Optimal prevention and elimination of infectious diseases

Hippolyte d'Albis and Emmanuelle Augeraud-Véron

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Abstract: 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.

Keywords: Infectious diseases; Optimal control (search for similar items in EconPapers)
Date: 2021-03
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03166714
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Citations: View citations in EconPapers (3)

Published in Journal of Mathematical Economics, 2021, 93, ⟨10.1016/j.jmateco.2021.102487⟩

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Related works:
Journal Article: Optimal prevention and elimination of infectious diseases (2021)
Working Paper: Optimal prevention and elimination of infectious diseases (2021)
Working Paper: Optimal Prevention and Elimination of Infectious Diseases (2021)
Working Paper: Optimal Prevention and Elimination of Infectious Diseases (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-03166714

DOI: 10.1016/j.jmateco.2021.102487

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