收获捕食者的时滞脉冲捕食模型  

A Delay Impulsive Predator-Prey Model With Harvesting Predator

作　　者：焦建军[1,2] 陈兰荪[2] 

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

出　　处：《数学的实践与认识》2010年第19期91-99,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10961008);贵州省科学技术基金(2010J2130)

摘　　要：讨论了与可再生生物资源管理相关的食饵具脉冲扰动与捕食者具连续收获的阶段结构时滞捕食-食饵模型,得到了捕食者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.结论为现实的可再生生物资源管理提供了可靠的策略依据.In this work,we consider a delayed predator-prey biological resource management model with impulsive perturbations on prey and continuous harvesting on predator. Sufficient conditions which guarantee the global attractivity of predator-extinction periodic solution and permanence of the system are obtained.We also prove that all solutions of the system are uniformly ultimately bounded.Our results provide reliable tactic basis for the practical biological resource management.

关 键 词：脉冲扰动 捕食-食饵模型 连续收获 灭绝 持久 

分 类 号：O175[理学—数学]