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

作     者：雒志学 杜明银 

作者机构：Department of MathematicsLanzhou Jiaotong University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2008年第29卷第5期

页      面：683-695页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：food chain age-dependence optimal control the maximum principle 

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.