四川大学学报（自然科学版）2008，Vol.45Issue(4)：723-732,10.
具有年龄结构和相互作用的种群系统的Pontryagin原理(Ⅱ):固定时间问题
Pontryagin's principles for interacting species withage-structure(Ⅱ):fixed horizon problems
摘要
Abstract
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.关键词
生物种群/年龄依赖性/欧拉-拉格朗日系统/最优控制/最大值原理Key words
biological species/age-dependence/Euler-Lagrange system/optimal control/maximum principle分类
数理科学引用本文复制引用
陈波涛,何泽荣..具有年龄结构和相互作用的种群系统的Pontryagin原理(Ⅱ):固定时间问题[J].四川大学学报（自然科学版）,2008,45(4):723-732,10.基金项目
国家自然科学基金(10771048) （10771048）
