两种群生态系统联合脉冲收获的优化控制策略

Optimal Control Policy of the Periodic Logistic Combine Impulsive Harvesting System

本文主要研究周期环境下相互独立的两种群系统联合脉冲收获的优化控制问题.在给定时刻对两种群同时进行比例脉冲收获,在系统保持周期变化的前提下,考虑成本因素,以最大经济净收益为目标,研究收获努力量对收益的影响,并确定最优的脉冲收获策略.利用脉冲微分系统的极值原理,获得了最优脉冲收获策略及最优收益的具体表达式.

The optimal control of two independent population systems modeled by periodic logistic equation with combing impulsive harvesting is studied.Under the periodicity condition,the two species are harvested at fixed moments together,and the harvesting function is supposed to be proportional harvesting.The purpose is to control the harvesting effort and harvesting constants as to maximize the profit which is the difference between economic revenue and cost.The existence of an optimal impulsive harvest control is showed and the exact expression of the optimal control policy is obtained by the maximum principle for optimal impulse control problem.