摘要
以周期Gompertz系统为基础,讨论了周期变化的单种群生物资源的收获优化问题及种群的动力学性质.在单位收获努力量假设下,以最大可持续收获量为管理目标,确定了线性收获下的最优收获策略,获得了最优收获努力量、最大可持续收获及相应的最优种群水平的显示表达式,为自然资源的开发和利用提供了理论依据.
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.
出处
《系统科学与数学》
CSCD
北大核心
2007年第4期520-528,共9页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10471117)资助项目
