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Harvest management problem with a fractional logistic equation

Author

Listed:
  • Melani Barrios

    (Universidad Nacional de Rosario [Santa Fe])

  • Gabriela Reyero

    (Universidad Nacional de Rosario [Santa Fe])

  • Mabel Tidball

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro - Montpellier SupAgro - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement)

Abstract

In this article, we study a fractional control problem that models the maximization of the pro fit obtained by exploiting acertain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this problem, wedevelop di fferent resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.

Suggested Citation

  • Melani Barrios & Gabriela Reyero & Mabel Tidball, 2021. "Harvest management problem with a fractional logistic equation," Post-Print hal-03335288, HAL.
    • Handle: RePEc:hal:journl:hal-03335288
    DOI: 10.1556/314.2021.00014
    Note: View the original document on HAL open archive server: https://hal.inrae.fr/hal-03335288
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