Optimal harvesting for an age-dependent n-dimensional food chain model  

作　　者：雒志学 杜明银 

机构地区：[1]Department of Mathematics,Lanzhou Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第5期683-695,共13页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(No.10771048);‘Qing Lan’Talent Engineering Funds of Lanzhou Jiaotong University(No.QL-05-18A)

摘　　要：This paper is concerned with optimal harvesting policy for an age-dependent n-dimensional food chain model. The existence and uniqueness of non-negative solution of the system are proved using the fixed point theorem. By Mazur＇s theorem, the existence of optimal control strategy is demonstrated and optimality conditions derived by means of normal cone.This paper is concerned with optimal harvesting policy for an age-dependent n-dimensional food chain model. The existence and uniqueness of non-negative solution of the system are proved using the fixed point theorem. By Mazur＇s theorem, the existence of optimal control strategy is demonstrated and optimality conditions derived by means of normal cone.

关 键 词：food chain AGE-DEPENDENCE optimal control the maximum principle 

分 类 号：O175.1[理学—数学]