脉冲存放食饵连续捕获捕食者阶段结构数学模型  

Continuous Harvesting on Predator Mathematical Model with Impulsive Stocking and Stage Structure

作　　者：程惠东[1] 常正波[1] 

机构地区：[1]山东科技大学理学院

出　　处：《北华大学学报（自然科学版）》2010年第5期385-390,共6页Journal of Beihua University（Natural Science）

基　　金：国家自然科学基金资助项目(10872118)

摘　　要：根据生物资源管理的实际,改进了原有捕食者-食饵模型,研究了一个连续收获捕食者与脉冲存放食饵的阶段结构时滞捕食-食饵模型,得到了捕食者灭绝周期解全局吸引和系统持久的充分条件.结论说明了脉冲存放食饵对系统的持久起到了重要作用,并且为生物资源管理中的捕食-食饵系统的开发提供了策略基础.A delayed stage-structured predator-prey model with impulsive stocking on prey and continuous harvesting on predator are studied.According to the living resources management,the predator-prey model is improved,the sufficient condition that guarantee the global attractivity of predator-exterminate periodic solution and permanence of the system is obtained.The results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system.

关 键 词：阶段结构 脉冲存放 连续收获 全局吸引 持久 

分 类 号：O175.14[理学—数学]