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Measure-Valued Optimal Control for Size-Structured Population Models with Diffusion

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Abstract

We consider a control problem to maximize a profit from harvesting in agriculture or aquaculture, where the population is governed by size-structured population models with spatial diffusion. We show the existence of an optimal control of harvesting rate which is a measure with respect to size expressed by the distributional partial derivative of a function of bounded variation.

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Authors and Affiliations

  1. Faculty of Electrical, Information and Communication Engineering, Institute of Science and Engineering, Kanazawa University, Kanazawa, 920-1192, Japan

    Nobuyuki Kato

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  1. Nobuyuki Kato
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Correspondence to Nobuyuki Kato.

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Communicated by Vincenzo Capasso.

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Kato, N. Measure-Valued Optimal Control for Size-Structured Population Models with Diffusion. J Optim Theory Appl 201, 54–74 (2024). https://doi.org/10.1007/s10957-023-02372-4

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