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Efficiency Optimization for the Cyclic Use of a Renewable Resource

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Abstract

We consider a periodic impulse harvesting of a renewable resource distributed in a domain of the arithmetic space and obeying the logistic growth low. We prove that, for a given harvesting effort, there exists an appropriate stationary distribution of the effort in the resource domain providing the maximum efficiency of the harvesting at infinite horizon, where the efficiency is the ratio of the harvesting profit to the total effort applied.

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    A. O. Belyakov & A. A. Davydov

  2. National Research Nuclear University MEPhI, Moscow, 115409, Russia

    A. O. Belyakov

  3. National University of Science and Technology MISiS, Moscow, 119049, Russia

    A. A. Davydov

Authors
  1. A. O. Belyakov
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  2. A. A. Davydov
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Correspondence to A. O. Belyakov.

Additional information

Original Russian Text © A.O. Belyakov, A.A.Davydov, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 2.

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Belyakov, A.O., Davydov, A.A. Efficiency Optimization for the Cyclic Use of a Renewable Resource. Proc. Steklov Inst. Math. 299 (Suppl 1), 14–21 (2017). https://doi.org/10.1134/S0081543817090036

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  • DOI: https://doi.org/10.1134/S0081543817090036

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