一类具年龄结构n维事物链模型的最优收获控制

doi:10.1007/s10483-008-0512-y

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 683-695 .doi: https://doi.org/10.1007/s10483-008-0512-y

• Articles • 上一篇

一类具年龄结构n维事物链模型的最优收获控制

雒志学, 杜明银

1.兰州交通大学数学系，兰州 730070；
2.杭州电子科技大学理学院，杭州 310018

收稿日期:2007-07-02 修回日期:2008-03-18 出版日期:2008-05-18 发布日期:2008-05-18
通讯作者: 雒志学

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

LUO Zhi-xue, DU Ming-yin

1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China;
2. Faculty of Science, Hangzhou Institute of Electronic Engineering, Hangzhou 310018, P. R. China

Received:2007-07-02 Revised:2008-03-18 Online:2008-05-18 Published:2008-05-18
Contact: LUO Zhi-xue

摘要/Abstract

摘要： 研究一类具有年龄结构n维食物的最优收获控制。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。

中图分类号:

雒志学;杜明银. 一类具年龄结构n维事物链模型的最优收获控制[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 683-695 .

LUO Zhi-xue;DU Ming-yin. Optimal harvesting for an age-dependent n-dimensional food chain model[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 683-695 .

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一类具年龄结构n维事物链模型的最优收获控制

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

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