一类半线性时变种群系统的最优捕获控制  

Optimal Harvesting for a Semi-linear Time-Varying Populatin System

作　　者：徐文兵[1] 陈任昭[2] 

机构地区：[1]北京信息控制研究所,北京100037 [2]东北师范大学数学系,吉林长春130024

出　　处：《应用泛函分析学报》2005年第3期257-263,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10471021)

摘　　要：讨论了年龄相关的半线性时变种群系统的最优捕获控制问题.根据微积分方程及泛函分析的知识证明了最优捕获控制的存在性,得到了捕获控制为最优的必要条件.The optimal utilization of biological resources is very important to environmental protection and economic development. The optimal harvesting problem for a semi-linear age- dependent time-varying population system is discussed. By the theory of integro-partial differential equation and functional analysis, the existence of tbe optimal harvesting control is proved and the necessary condition for a harvesting control to be optimal is obtained.

关 键 词：半线性种群系统 最优捕获 必要条件 

分 类 号：O231.4[理学—运筹学与控制论]