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Position: Home > Articles > STABILITY AND PERIODIC SOLUTION OF A TOW-PREY ONE-PREDATOR SYSTEM WITH TOW TYPE FUNCTION RESPONSE AND LMPULSIVE EFFECT Journal of Inner Mongolia Agricultural University(Natural Science Edition) 2012,33 (4) 252-259

脉冲效应下具有两个功能反应的两食饵一捕食者系统的周期解与稳定性

作  者:
曹学勤;刘媛媛;马文斌
单  位:
内蒙古农业大学理学院
关键词:
脉冲效应;周期解;捕食-食饵系统
摘  要:
基于害虫的化学控制和生物控制策略,本文主要利用脉冲微分方程的Floquet理论和比较原理,研究了一类具有两个功能反应的两食饵一捕食者系统在外在的脉冲扰动下的动力学性质,证明了系统的有界性,得到了当脉冲周期小于某个临界值时,系统存在1个全局渐进稳定的害虫灭绝周期解.
译  名:
STABILITY AND PERIODIC SOLUTION OF A TOW-PREY ONE-PREDATOR SYSTEM WITH TOW TYPE FUNCTION RESPONSE AND LMPULSIVE EFFECT
作  者:
CAO Xue-qin,LIU Yuan-yuan,MA Wen-bin(College of Sciences,Inner Mongolia Agricultural University,Huhhot 010018,China)
关键词:
Lmpulsive effect;periodic solution;predator-prey system
摘  要:
In this paper,a tow-prey one-predator model with tow type function response and impulsive effect concerning chemical control and biological control strategy of pest is proposed and analyzed.By using Floquet theory and Comparison theorem of impulsive differential equation,the boundedness of system is proved and we obtain that there exists a globally asymptotically stable periodic solution of pest-eradication when the impulsive period is less than some critical value.

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