Abstract

In this work a qualitative stability analysis of a continuous time bioeconomic model is developed representing the exploitation of an open acces fisheries, by modifying the dynamic version proposed by Smith ( 1969) to the Schaefer model. It introduces a catch-rate function that is more realistic than the used in catch per unit effort hypothesis (Schaefer, 1954), because harvesting saturation is taken into account when biomass increases. The existence of bioeconomic equilibriums and self-control of the fishery are proved according to changes in parameters, the validity of models applicability is discussed and simulations with PHASER package are shown.