一类带有不同功能性反应和脉冲投放的捕食系统  

A Kind of Predator-prey System with Different Functional Response and Impulsive Release

作　　者：郭红建[1] 彭玉成[1] 宋新宇[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《河南师范大学学报（自然科学版）》2007年第2期5-8,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10471117);河南省自然科学基金(0611053100)

摘　　要：讨论了一类带有线性与Beddington-DeAngelis功能性反应和脉冲投放的一食饵两捕食者系统.运用Floquet和小振幅扰动理论,证明了当投放周期和投放量满足一定条件时,系统食饵绝灭的周期解是全局渐近稳定的,同时研究了系统的持续生存并给出了持续生存的条件.A kind of one-prey two-predator system with linear and Beddington-DeAngelis＇ functional response and impulsive release is presented in this paper. By applying the Floquet theory and small amplitude perturbation skills, it is proved that the prey-free periodic solution of the system is globally asymptotically stable when release period and population satisfy certain condition. Furthermore, permanence of the system is investigated and the condition of permanence is given.

关 键 词：捕食系统 脉冲效应 持续性 绝灭性 

分 类 号：O175.2[理学—数学]