捕食者具有年龄结构和时滞的捕食-食饵系统的全局吸引性  

Global Attractivity of a Lotka-volterra Model with Impulsive Effects on the Prey and Stage Structure on the Predator

作　　者：向中义[1] 刘玉珍 

机构地区：[1]湖北民族学院理学院,湖北恩施445000 [2]恩施市舞阳中学,湖北恩施445000

出　　处：《湖北民族学院学报（自然科学版）》2009年第4期386-390,共5页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：湖北省自然科学基金(2008CDB075);湖北省优秀团队项目(T200804)

摘　　要：本文考虑一个具有脉冲效应和时滞阶段结构的捕食-食饵系统,捕食者具有年龄结构.分析后证明了模型的所有解都是一致最终有界的,并且得到了捕食者绝灭的周期解的全局吸引的条件.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 prey-predator system 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 global attractivity of predatorextinction periodic solution of the system are obtained.These results show that the impulsive effects on the prey play an important role for the permanence of the system.The results provide reliable tactical basis for the biological resource management.

关 键 词：捕食-食饵系统 阶段结构 脉冲 全局吸引 

分 类 号：O175.12[理学—数学]