Effect of prey refuge on a harvested predator-prey model with generalized functional response

被引：46
|
作者：
Tao, Youde [1 ,2 ]
Wang, Xia [1 ]
Song, Xinyu [1 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
[2] Beijing Inst Informat Control, Beijing 100037, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 02期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Predator-prey model; Harvesting; Prey refuge; Stability; Equilibrium; STABILITY REGIONS; SYSTEMS; STOCKING; DYNAMICS;
D O I：
10.1016/j.cnsns.2010.05.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A predator-prey model with generalized response function incorporating a prey refuge and independent harvesting in each species are studied by using the analytical approach. A constant proportion of prey using refuges is considered. We will evaluate the effects with regard to the local stability of equilibria, the equilibrium density values and the long-term dynamics of the interacting populations. Some numerical simulations are carried out. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1052 / 1059
页数：8
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