A Predator-Prey Model for Discrete-Time Commercial Fisheries

Authors:   Gatto M, Rinaldi S, Walters CJ

Publication Year:   1975

Reference:  IIASA Research Report RR-75-005

Abstract

A very simple discrete-time predator (boats) -- prey (fish) model for the description of the dynamic behavior of a fishery is presented. The stability properties of the system are analyzed in some detail and the sensitivity of the equilibrium with respect to the catchability coefficient, the length of the fishing season and the investment coefficient of the fleet is analyzed. Finally, a simple procedure is presented and used for estimating the characteristic parameters of the fleet of a few fisheries. The agreement between the data and the predicted results is quite satisfactory when considering the crudeness of the model.

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