具有阶段结构和脉冲控制的时滞生物防治害虫模型  

A Stage-Structured Delay Pest Model Based on Biological Control with Impulsive

作　　者：黄娜[1] 石志杰[1] 黄健民[1] 

机构地区：[1]广西师范大学,广西桂林541004

出　　处：《生物数学学报》2012年第2期265-273,共9页Journal of Biomathematics

基　　金：国家自然科学基金项目(No.10961005)

摘　　要：基于昆虫病毒防治害虫的策略,建立具有脉冲效应的时滞微分方程模型,利用脉冲微分方程的Floquet乘子理论及比较定理,证明该模型害虫灭绝T周期解的全局吸引性.Based on the control strategy of using insect viruses to control pests,a delaydifferential equations with impulses is formulated. Based on Floquet theory and the comparison theorem of impulsive differential equation,a globally attractive condition for the pest-eradication periodic solution of the investigated system is proved.

关 键 词：时滞微分方程 脉冲效应 全局吸引性 周期解 

分 类 号：O175.1[理学—数学]