一类具年龄结构n维食物链模型的最优收获控制

雒志学; 杜明银

一类具年龄结构n维食物链模型的最优收获控制

雒志学^1,2,
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

基金项目: 国家自然科学基金资助项目(10771048)

详细信息

作者简介:
雒志学(1963- ),男,甘肃宁县人,博士,副教授(联系人.Tel:+86-931-4956559;E-mail:luozhix@263.net).

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出版历程
- 收稿日期: 2007-09-02
- 修回日期: 2008-03-18
- 刊出日期: 2008-05-15

Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model

LUO Zhi-xue^1,2,
DU Ming-yin¹

Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China;

摘要

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．
- 食物链 /
- 年龄结构 /
- 最优控制 /
- 最大值原理
Abstract: Optimal harvesting policy for an age-dependent n-dimensional food chain model is studied.The existence and uniqueness of non-negative 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.
- food chain /
- age-dependence /
- optimal control /
- the maximum principle

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参考文献(16)

[1]	Brokate M.Pontryagin's principle for control problems in age-dependent population dynamics[J].J Math Biol,1985,23:75-101. doi: 10.1007/BF00276559
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[8]	Albrecht F,Gatzke H,Haddad A,et al.On the control of certain interacting populations[J].J Math Anal Appl,1976,53:578-603. doi: 10.1016/0022-247X(76)90094-9
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[10]	Crespo L G,Sun J Q.Optimal control of populations of competing species[J].Nonlinear Dynamics,2002,27:197-210. doi: 10.1023/A:1014258302180
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一类具年龄结构n维食物链模型的最优收获控制

作者简介:
雒志学(1963- ),男,甘肃宁县人,博士,副教授(联系人.Tel:+86-931-4956559;E-mail:luozhix@263.net).

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Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model

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一类具年龄结构n维食物链模型的最优收获控制

作者简介: 雒志学(1963- ),男,甘肃宁县人,博士,副教授(联系人.Tel:+86-931-4956559;E-mail:luozhix@263.net).

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出版历程

Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model

计量

出版历程

目录

作者简介:
雒志学(1963- ),男,甘肃宁县人,博士,副教授(联系人.Tel:+86-931-4956559;E-mail:luozhix@263.net).