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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

雒志学 杜明银

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[J]. 应用数学和力学, 2008, 29(5): 618-630.
引用本文: 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[J]. 应用数学和力学, 2008, 29(5): 618-630.
LUO Zhi-xue, DU Ming-yin. Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model[J]. Applied Mathematics and Mechanics, 2008, 29(5): 618-630.
Citation: LUO Zhi-xue, DU Ming-yin. Optimal Harvesting for an Age-Dependent n-Dimensional Food Chain Model[J]. Applied Mathematics and Mechanics, 2008, 29(5): 618-630.

一类具年龄结构n维食物链模型的最优收获控制

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).

  • 中图分类号: O175.1

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

  • 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.
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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

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