The Optimal Allocation of Ocean Space for the Purposes of Fishery and Ecotourism Management

This paper deals with the optimal allocation of an ocean space for the purposes of fishing and ecotourism management. Here we have considered that one portion of the region to be used for ecotourism and rest of the portion to be used for fishery management. Our main aim of the problem is to optimize the total profit earned from both fishery and ecotourism and for this purpose we have used optimal control technique. Some necessary and sufficient conditions are established for the existence of different equilibria, their stability and Hopf bifurcations of this optimal control problem. It is observed that the result depend strongly on different catch rate functions of the fishery.