一类功能反应与脉冲效应的捕食-食饵系统的分析  

Analysis of a Class of Predator-Prey System with Functional Response and Impulsive Effect

作　　者：庞留勇[1] 侯亚林[1] 张振坤[1] 

机构地区：[1]黄淮学院,河南驻马店463000

出　　处：《河南科学》2011年第9期1009-1012,共4页Henan Science

基　　金：河南省科技发展计划项目(112300410047)

摘　　要：对一类具有周期脉冲效应与功能反应函数为p(x)=姨x3%的捕食-食饵系统进行了研究,根据脉冲微分方程的比较定理与Floquet乘子理论,给出了食饵根除的周期解全局稳定与系统持续生存的充分条件.最后给出了系统的数值模拟,验证了理论的正确性.In this paper a class of predator-prey system with functional response function p （x）=√ x3 and periodic impulsive effect is investigated. By using comparison theorem and Floquet theorem of impulsive differential, sufficient conditions for global asymptotic stability of prey-eradication periodic solution and permanence of the system are given. Finally, correction of theoretical analysis is illustrated by numerical simulation.

关 键 词：功能反应函数 脉冲效应 持续生存 FLOQUET理论 

分 类 号：O175.1[理学—数学]