脉冲存放食饵连续捕获捕食者阶段结构数学模型

J4 ›› 2010, Vol. 45 ›› Issue (11): 83-87.

脉冲存放食饵连续捕获捕食者阶段结构数学模型

程惠东,常正波

山东科技大学理学院, 山东青岛 266510

收稿日期:2009-09-07 出版日期:2010-11-16 发布日期:2010-11-24
作者简介:程惠东(1964-),女, 副教授,研究方向为生物数学. Email:chd900517@sdust.edu.cn

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

CHENG Hui-dong, CHANG Zheng-bo

College of Science, Shandong University of Science and Technology, Qingdao 266510, Shandong, China

Received:2009-09-07 Online:2010-11-16 Published:2010-11-24

摘要/Abstract

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。

关键词: 阶段结构; 脉冲存放; 连续收获; 全局吸引

Abstract:

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 according 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 obtained. 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.

Key words: stage-structured; impulsive stocking; continuous harvesting; global attractivity

程惠东,常正波. 脉冲存放食饵连续捕获捕食者阶段结构数学模型[J]. J4, 2010, 45(11): 83-87.

CHENG Hui-dong, CHANG Zheng-bo. Continuous harvesting on the predator mathematical model with impulsive stocking and stage-structured[J]. J4, 2010, 45(11): 83-87.

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