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Optimal spatial distribution of a bioeconomical fishing model on several zones: Allee effect

Rachid Mchich, Pierre Auger, My Lhassan Hbid , Nadia Raıssi

Abstract


This work presents a stock-effort bio-economical model of a fishery subdivided on three fishing zones. The stock corresponds to a fish population moving between different zones, on which they are harvested by fishing fleets. We take profit from the existence of two time scales (a fast one for fish migration and fleets movements, and a slow one for fish growth and mortality and fleets revenue) to construct a reduced (aggregated) model. The mathematical analysis of the model allows the optimization of the spatial distribution of the fishing effort, and so on the control of the fleets displacement between the fishing zones, in order to increase the total activity.

Keywords


Fishery model, aggregation of variables, optimal spatial distribution of fishing effort

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