具有脉冲效应和Holling IV功能性反应的捕食者食饵系统分析(英文)  

Analysis of a Holling IV One-Predator Two-Prey System With Impulsive Effect

作　　者：庞国萍[1] 陈兰荪[2] 

机构地区：[1]玉林师范学院数学与计算机科学系,广西玉林537000 [2]大连理工大学应用数学系

出　　处：《南京师大学报（自然科学版）》2007年第2期1-5,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of Educational Department of China(10471117,10526015);Scientif-ic Research Foundation of Guangxi Province(2006243).

摘　　要：构建和分析了在固定时刻脉冲投放捕食者且具有Holling IV功能性反应的一个捕食者两个食饵系统,利用脉冲比较定理和微分方程的分析方法,得到了平凡周期解稳定和系统持续生存的条件.A Holling type Ⅳ Lotka-Voherra one-predator two-prey system with impulsive effect on predator at fixed moments is investigated. Conditions for the stability of the trivial peridic solution and the permanence of the system are established via comparison theorem of impulsive differential equation and analytic methods of differential equation theory.

关 键 词：捕食者—食饵系统 HOLLING TYPE Ⅳ 脉冲效应 灭绝 持续生存 

分 类 号：O175.12[理学—数学]