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

Nobuyuki Kato ()
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Nobuyuki Kato: Kanazawa University

Journal of Optimization Theory and Applications, 2024, vol. 201, issue 1, No 3, 54-74

Abstract: 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.

Keywords: Optimal harvesting; Size-structured population; Measure; Bounded variation; 35Q92; 47D06; 92D25 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-023-02372-4

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