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具有年龄结构的捕食种群系统的最优收获策略
OPTIMAL HARVESTING FOR AN AGE-STRUCTURED PREDATOR-PREY SYSTEM

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文摘 分析了一类基于年龄结构的食饵-捕食者系统的最优收获问题.证明了系统非负解的存在唯一性、解对控制变量的连续依赖性.讨论了最优策略的存在性,利用法锥和Dubovitskii-Milyutin理论导出了最优性条件.
其他语种文摘 This work analyzes the optimal harvesting of an age-based predator-prey system. Existence and uniqueness of non-negative solutions to the system and the continuous dependence of solution on control variable are proved. Existence of the optimal policy is discussed, and the optimality conditions are derived by means of normal cone and Dubovitskii-Milyutin theorem.
来源 系统科学与数学 ,2006,26(4):467-483 【核心库】
关键词 捕食系统 ; 最优控制 ; 年龄结构 ; 最大值原理
地址

杭州电子科技大学理学院运筹与控制研究所, 杭州, 310018

语种 中文
文献类型 研究性论文
ISSN 1000-0577
学科 数学
基金 浙江省自然科学基金 ;  浙江省教育厅科研计划项目 ;  杭州电子科技大学科研基金
文献收藏号 CSCD:2416035

参考文献 共 19 共1页

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引证文献 9

1 何泽荣 连续年龄分布下两种群系统的近似可控性 应用数学,2008,21(4):640-644
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2 王巍 具有年龄结构的竞争系统的最优输入率控制的存在性 应用数学,2010,23(1):162-170
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