This article is concerned with optimal policies for a two-species agedependent 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.
【基金】
国家自然科学基金(10771048)
【更新日期】
2008-10-07
【分类号】
O175.1
【正文快照】
1 IntroductionWe continue the research initiated in Ref.[1],in which we discussed the well-posedness of the basicmodel.In this paper we focus our study on several optimal birth control problems;specifically,on necessaryconditions satisfied by optimal fert