A delayed stage-structured predator-prey model with impulsive stocking on prey and continuous harvesting on predator

被引：39
|
作者：
Jiao, Jianjun [1 ,2 ]
Pang, Guoping [3 ]
Chen, Lansun [1 ]
Luo, Guilie [4 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China
[3] Yulin Normal Univ, Dept Math & Comp Sci, Yulin 537000, Peoples R China
[4] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 195卷 / 01期
基金：
中国国家自然科学基金;
关键词：
stage-structured; impulsive; global attractivity; permanence;
D O I：
10.1016/j.amc.2007.04.098
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we investigate a delayed stage-structured Holling II predator-prey model with impulsive stocking on prey and continuous harvesting on predator. Sufficient conditions of the global attractivity of predator-extinction periodic solution and the permanence of the system are obtained. These results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for the biological resource management. (C) 2007 Elsevier Inc. All rights reserved.
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页码：316 / 325
页数：10
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