捕食者具有年龄结构的种群系统的最优收获策略(英文) 被引量：1

Optimal Harvesting for Population System With Age-dependent Predator

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摘要本文研究一类混合捕食系统的最优收获问题,其中捕食者具有年龄分布.应用不动点原理证明了控制系统模型非负解的存在唯一性,借助法锥技巧导出了控制策略的最优性条件,根据Ekeland变分原理确立了最优策略的存在性和唯一性,获得了反馈控制率. The article investigates an optimal harvesting problem for a hybrid system modelling predator-prey interaction with age-distributed predator. Fixed point theory is used to obtain the existence and uniqueness of nonnegative solution of the controlled system. Optimality conditions are carefully derived by means of normal cone technique. Existence of unique optimal control is verified via Ekeland＇s principle, a feedback form of the optimal policy is presented.

作者何泽荣刘荣刘丽丽

机构地区杭州电子科技大学运筹与控制研究所

出处《数学进展》 CSCD 北大核心 2013年第5期691-700,共10页 Advances in Mathematics（China）

基金 supported by NSFC(No.11271104,No.11061017)

关键词捕食模型最优收获年龄依赖性 EKELAND变分原理 predator-prey model optimal harvest age-dependence Ekeland＇s principle

分类号 O175.1 [理学—基础数学]

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