捕食者具脉冲扰动与Ivlev功能性反应的时滞捕食-食饵模型  

An Ivlev′s functional response predator-prey model with time delay and impulsive perturbations on predators

作　　者：刘开源[1,2] 陈兰荪[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116024 [2]鞍山师范学院数学系,辽宁鞍山114007

出　　处：《大连理工大学学报》2008年第6期926-931,共6页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(10671001)

摘　　要：研究了与害虫管理相关的一类捕食者具脉冲扰动与Ivlev功能性反应的时滞捕食-食饵模型;运用脉冲微分方程的比较定理及时滞泛函微分方程的基本理论,证明了该系统在一定条件下害虫灭绝周期解是全局吸引的,同时也证明了系统持久的充分条件和所有解的一致完全有界性.该模型及结果是对一些已知模型和结论的改进和推广,为现实的生物防治提供了较可靠的策略依据.An Ivlev＇s functional response stage-structured predator-prey model with time delay and impulsive perturbations on predators is proposed and analyzed. By using comparative theorem of impulsive differential equation and delay differential equation basic theory, sufficient conditions which guarantee the global attraction of pest-extinction periodic solution and permanence of the system are obtained. And all solutions of the system are uniformly and ultimately bounded. These results are basically extension of the known results and models, and provide reliable tactic basis for the practical pest management.

关 键 词：脉冲扰动 阶段结构 全局吸引 一致持久 

分 类 号：O175[理学—数学]