关键词: 近远海渔业系统, 连续迁徙扩散, Pontryagin极值原理, 最优收获策略, 最大经济利润

Abstract: In this paper, the dynamic behavior and optimal harvesting policy for a class of inshore-offshore fishery model are investigated. In the model, the inshore fish is caught by proportional harvesting and constant harvesting simultaneously, and the inshore fish and offshore fish diffuse with each other continuously. Objective functional is to obtain the maximal profit which is the difference between economic revenue and cost. The optimal control policy is obtained through applying the Pontryagin maximum principle and some analytic skills. The exact expressions of  optimization policy and the economic profit are given.

Key words: inshore-offshore fishery system, continuous diffusion, Pontryagin maximum principle, optimal harvesting policy, maximum economic revenue