Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge

被引：154
作者：
Chen, Liujuan [1 ]
Chen, Fengde [2 ]
Chen, Lijuan [2 ]
机构：
[1] Fujian Inst Educ, Dept Math & Phys, Fuzhou 350001, Fujian, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Predator-prey model; Prey refuge; Limit cycle; Holling type II; Global stability; STABILITY ANALYSIS; DYNAMICS; SYSTEM;
D O I：
10.1016/j.nonrwa.2008.10.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A predator-prey model with Holling type II functional response incorporating a constant prey refuge is investigated. Depending on a constant prey refuge m, which provides a condition for protecting m of prey from predation, we show the instability and global stability properties of the equilibria and the existence and uniqueness of limit cycles for the model. Two examples are carried out to illustrate the validity of our results. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：246 / 252
页数：7
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