%0 Journal Article
%T Optimal Harvesting of a Size-structured Predator-prey Model<br>具有Size结构的捕食种群系统的最优收获策略
%A LIU Yan
%A HE Ze-Rong
%A <br>刘炎
%A 何泽荣
%J 数学物理学报(A辑)
%D 2012
%I 
%X This work is concerned with an optimal harvesting problem for a predator-prey model, in which the prey population is described by a first order partial differential equation (PDE) in a density function and the predator by an ordinary di?erential equation in total size. The existence and uniqueness of solutions to the state system and the dual system is proven via fixed point theorem. Necessary optimality conditions of first order are established by use of tangent-normal cones and dual system technique. The existence of a unique optimal control pair is derived by means of Ekeland’s variational principle. The resulting conclusion extends some existing results involving age-dependent populations.
%K Optimal controlzz
%K Predator-prey modelzz
%K Size-structurezz
%K Tangent-normal coneszz
%K Ekeland&rsquo
%K s variational principlezz<br>最优控制
%K 捕食-被捕食模型
%K Size结构
%K 切锥法锥
%K Ekeland变分原理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F0F4F132BDBA1677CD&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=CA4FD0336C81A37A&sid=869807E2D7BED9EC&eid=331211A5F5616413&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0