Optimal Impulsive Control Policy in Periodic Gompertz Ecosystem
周期Gompertz生态系统中的最优脉冲控制收获策略

This paper studies the impulsive exploitation of single species modelled by periodic Gompertz ecosystem. Choosing the maximum periodic biomass yield as the management objective, we investigate the optimal harvesting policies for periodic Gompertz ecosystem with impulsive harvest. When the optimal harvesting effort maximiges the periodic biomass yield, the corresponding optimal population level, and the maximum periodic biomass yield are obtained. In particular, it is proved that the maximum periodic biomass yield is in fact the maximum sustainable yield. The results extend and generalize the classical results of continuous harvest in renewable resources.