Abstract

In this work, a bioeconomic model of an open-access single-species fishery is analyzed, using a catch-rate function suggested by C. W. Clark and considering the Allee effect in the exploited resource. The harvesting effort is considered to be a dynamic variable (a function of time) and also it is assumed that the exploitation of the fishery is regulated by an agency by imposing a tax per unit of landed biomass. The main objectives are to establish the maximization of the monetary social benefit as well as to prevent the extinction of the resource. i.e., an optimal control problem is obtained, which is solved by means of Pontryagin's Maximum Principle.