摘要
研究一类具有年龄结构n维食物链模型的最优收获控制.利用不动点定理,证明了系统非负解的存在性和唯一性.由Mazur定理,证明了最优控制策略的存在性,同时由法锥概念的特征刻画,还得到了控制问题最优解存在的必要条件.
Optimal harvesting poficy for an age-dependent n-dimensional food chain model is studied. The existence and uniqueness of non-negalive solution of the system were proved using the fixed point theorem. By Mazur＇s theorem, the existence of optimal control strategy was demonstrated and optimality conditions were derived by means of normal cone.
出处
《应用数学和力学》
EI
CSCD
北大核心
2008年第5期618-630,共13页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10771048)
关键词
食物链
年龄结构
最优控制
最大值原理
food chain
age-dependence
optimal control
the maximum principle
