%0 Journal Article
%T 具有年龄结构非线性扩散系统的最优控制<br>Optimal control for a nonlinear diffusion system with age-dependent
%A 刘江璧
%A 雒志学&lt
%A br&gt
%A LIU Jiang-bi
%A LUO Zhi-xue
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2016.017
%X 摘要： 研究了一类具有空间扩散和年龄结构的非线性系统竞争种群的最优控制问题,通过对两种群收获努力度的控制,使得收获种群的经济利益最大。利用不动点定理得到了解的存在唯一性,Mazur定理证明了最优收获的存在性,借助法锥技巧,推导了收获控制为最优的必要条件,从而推广了一些已有结果。<br>Abstract: In this paper, we investigate the optimal harvesting for a class of nonlinear diffusion problem in an age-dependent population system with fertility and mortality depending on the population size. Making the maximum revenue from harvested by control the proportion of the species harvested. Mazurs theory is used to obtain existence of an optimal control. Optimality conditions are derived by means of normal cone technique. Some results in references are extended
%K 年龄结构
%K 最优控制
%K 空间扩散
%K 竞争系统
%K &lt
%K br&gt
%K age-dependent
%K competition
%K optimal control
%K diffusion
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.017