捕食者具有年龄结构和时滞的Lotka-volterra模型的持续生存  

Permanence of a Lotka-volterra Model of the Predator with Stage Structure and Time Delay

作　　者：向中义[1] 

机构地区：[1]湖北民族学院理学院,湖北恩施445000

出　　处：《湖北民族学院学报（自然科学版）》2009年第2期174-178,共5页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(10771179);湖北省自然科学基金项目(2008CDB075);湖北省优秀中青年项目(Q20082906);湖北省优秀团队项目(T200804)

摘　　要：考虑一个具有脉冲效应和时滞阶段结构的Lotka-volterra模型,捕食者具有年龄结构.分析证明了模型的所有解都是一致最终有界的,并且得到了模型持续生存的充分条件.结果显示脉冲效应在系统的持续生存上扮演了重要角色,这些结果为生态资源的控制提供了一个可靠而有效的策略.In this paper, we consider a Lotka - volterra model with impulsive effects on the prey and stage structure on the predator. We prove that all solutions of the system are uniformly ultimately bounded and sufficient conditions of the permanence of the system are obtained. These results show that the behavior of impulsive effects on the prey plays an important role for the permanence of the system. These results provide a reliable tactical basis for the management of biological resources.

关 键 词：Lotka—volterra模型 阶段结构 脉冲 持续生存 

分 类 号：O175[理学—数学]