摘要
建立了一类具有Ivlev功能反应函数的捕食系统,引入二次脉冲对该系统中捕食者进行作用,讨论了系统的有界性,利用Floquet理论和小振幅扰动方法,得出了食饵灭绝的周期解的局部稳定性和该系统最终持久生存的条件.
We introduce a Ivlev predator-prey model with impulsive harvesting and stocking. By using Floquet theory, small amplitude perturbation method and comparison theory, we show that there exits an asymptotically stable prey-eradication periodic solution when the period is less than some threshold. Meanwhile, the condition for the permanence of the system is given.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第13期168-173,共6页
Mathematics in Practice and Theory
关键词
脉冲微分方程
Ivlev功能反应
二次脉冲
Implusive different equation
Ivlev fuctional response
Two times impulsive
