周期Gompertz生态系统中的最优脉冲控制收获策略  

OPTIMAL IMPULSIVE CONTROL POLICY IN PERIODIC GOMPERTZ ECOSYSTEM

作　　者：王丽敏[1] 谭远顺[2] 

机构地区：[1]大连交通大学数理系,辽宁116028 [2]大连理工大学应用数学系

出　　处：《系统科学与数学》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

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.

关 键 词：全局渐近稳定 最优收获 最大可持续收获量 Gompertz系统. 

分 类 号：O232[理学—运筹学与控制论]