Optimal control of a phytoplankton-zooplankton spatiotemporal discrete bioeconomic model

Abstract

In this work, we describe the predation interaction between phytoplankton and zooplankton (Crustacean) organisms under their exploitation by a bioeconomic spatiotemporal discrete model in multi-fishing zone. Each zone is represented by cell, so we use a grid of colored cells to present the entire domain. In order to guarantee the survival of two organisms we consider two harvesting control strategies. We prove the existence of optimal controls and we give their characterization using the discrete version of Pontryaginâs maximum principle. Based on the concentration of chlorophyll a in the ...

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