摘要
作者研究了具有年龄结构和相互作用的捕食系统的最优控制问题,状态系统模型由偏微分-积分方程组描述,控制变量为个体出生率.应用Dubovitskii-Milyutin泛函分析方法,作者导出了自由终端状态、无穷时间和具有终态约束集的最优控制策略需要满足的必要条件.
This article is concerned with optimal policies for a two-species age-dependent population model with interaction of predator and prey, which is described by an integro-differential system and controlled by fertility. Necessary conditions for optimal control problems with free terminal states, infinite horizon and target sets are obtained, respectively, by means of Dubovitskii-Milyutin＇ s functional approach.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第4期723-732,共10页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(10771048)
