非线性种群扩散系统收获控制的最优条件  

Necessary Condition for Optimal Harvesting Control in Nonlinear Population Diffusion System

作　　者：卜红彧[1] 

机构地区：[1]辽东学院师范学院,辽宁丹东118003

出　　处：《辽东学院学报（自然科学版）》2011年第2期164-166,共3页Journal of Eastern Liaoning University:Natural Science Edition

基　　金：丹东市科学技术计划项目(07703)

摘　　要：文章讨论一类与年龄相关且具有加权总规模的非线性时变种群扩散系统收获控制为最优的必要条件,导出由积分—偏微分方程和变分不等式组成的最优性组。Necessary conditions for optimal harvesting control in a nonlinear and time-varying population diffusion system with age-dependence and weighted size were discussed.The optimality system which consists of integro-partial differential equations and variational inequalities is obtained.

关 键 词：种群扩散系统 最优收获控制 变分不等式 最优性组 

分 类 号：O231.4[理学—运筹学与控制论]