摘要
基于害虫防治,该文提出了一类具有脉冲效应的食饵依赖捕食系统并进行了分析,根据Floquet乘子理论,我们获得了害虫根除周期解全局渐近稳定与系统持续生存条件.
A class of prey-dependent predator-prey system with impulsive effect concerning biology control is proposed and analyzed.By using Floquet theorem and comparison theorem of impulseive differential equation,we obtained the conditions that determined global asymptotic stability of pest-eradication periodic solution and permanence.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第8期91-97,共7页
Mathematics in Practice and Theory
基金
由国家自然基金(10471117)
信阳师院青年基金支持(20050106)
关键词
生物防治
食饵依赖模型
脉冲效应
全局渐近稳定性
持续生存
biology control
prey-dependent model
impulsive effect
global asymptotic stability
permanence of the system
