捕食者具脉冲扰动与食饵具有化学控制的阶段结构时滞捕食-食饵模型  

Delayed Stage-Structured Predator-Prey Model With Impulsive Perturbations on Predator and Chemical Control on Prey

作　　者：焦建军[1] 陈兰荪[2] 

机构地区：[1]贵州财经学院数学与统计学院,贵阳550004 [2]大连理工大学应用数学系,辽宁大连116024

出　　处：《应用数学和力学》2007年第12期1502-1512,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10471117);贵州省重点学科资助项目

摘　　要：讨论了与害虫治理相关的一类捕食者具脉冲扰动与食饵具有化学控制的阶段结构时滞捕食-食饵模型,得到了害虫灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界.得出的结论为现实的害虫治理提供了可靠的策略依据.A delayed stage-structured pest management predator-prey system with impulsive transmitring on predators and chemical on prey concern was considered. Sufficient conditions of the global at- tractivity of pest-extinction boundary periodic solution and permnence of the system were obtained. It was also proved that all solutions of the system are uniformy ultimately botmded. The results provide reliable tactical basis for the practical pest management.

关 键 词：阶段结构 时滞 脉冲 全局吸引 一致持久 害虫灭绝 

分 类 号：O175.2[理学—数学] O175.6[理学—基础数学]