脉冲存放食饵连续捕获捕食者阶段结构数学模型  

Continuous harvesting on the predator mathematical model with impulsive stocking and stage-structured

作　　者：程惠东[1] 常正波[1] 

机构地区：[1]山东科技大学理学院,山东青岛266510

出　　处：《山东大学学报（理学版）》2010年第11期83-87,共5页Journal of Shandong University(Natural Science)

摘　　要：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,根据生物资源管理的实际,改进了原有捕食者-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的作用,并且为生物资源管理中捕食-食饵系统的开发提供了策略基础。A stage-structured delayed predator-prey model with impulsive stocking of the prey and continuous harvesting by the predator was made. The bait has pulse depositing the stepped design time lag to prey on-the bait model, and ac- cording to the living resources management＇s reality, improved the predator-prey model. A sufficient condition which guarantees the global attraction of the predator-exterminate periodic solution and permanence of the system, were ob- tained. The results show that the behavior of impulsive stocking of the prey plays an important role for the permanence of the continuous harvesting system, global attraction, permanence.

关 键 词：阶段结构 脉冲存放 连续收获 全局吸引 

分 类 号：O175.14[理学—数学]