具有分布时滞和脉冲效应的捕食者-食饵系统的动力学分析  

Dynamical analysis of impulsive predator-prey system with distributed time delay

作　　者：黄灿云[1] 龙倩[1] 惠富春[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2014年第1期139-143,共5页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(1107RJZA164)

摘　　要：通过分析具有分布时滞和脉冲效应的捕食者-食饵系统,研究喷洒农药和投放害虫天敌的害虫治理系统,利用Floquet理论和脉冲方程比较定理,得到系统存在一个渐近稳定的害虫灭绝周期解和系统是持续生存的充分条件,结果表明缩短脉冲周期、加大害虫的天敌投放量、提高喷洒农药的有效性等都有利于害虫的治理、控制.Based on the dynamical analysis of impulsive predator-prey system with distributed time delay,the management pest system with spraying pesticide and stocking enemy was investigated.By using the Floquet＇s theory and the comparison theorem of impulsive differential equation,the sufficient conditions for the global attractivity of the pest-eradication periodic solution and the permanence of the system was obtained.The results show that it was in favor of control for pest to shrink the impulsive period and increase the amount of stocking enemy or the efficacy of pesticide.

关 键 词：捕食者-食饵系统 分布时滞 脉冲 持久性 

分 类 号：O175.29[理学—数学]