Stability of a predator-prey model with refuge effect

被引：15
作者：
Kapcak, S. [1 ]
Elaydi, S. [2 ]
Ufuktepe, U. [1 ]
机构：
[1] Amer Univ Middle East, Egaila, Kuwait
[2] Trinity Univ, San Antonio, TX USA
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 07期
关键词：
Predator-prey; beddington model; discrete dynamical systems; refuge effect; NEIMARK-SACKER BIFURCATION; HOST-PARASITOID MODEL; EQUATIONS; SYSTEM;
D O I：
10.1080/10236198.2016.1170823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a predator-prey model, where some prey are completely free from predation within a temporal or spacial refuge. The most common type of spacial refuge, that we investigate here, takes the form where a constant proportion of the prey population is protected. The model is a modification of the classical Nicholson-Bailey host-parasitoid model. In this paper, we study the effect of the presence of refuge on the stability and bifurcation of the system. Moreover, we provide a detailed analysis of the Neimark-Sacker bifurcation of the model.
引用
收藏
页码：989 / 1004
页数：16
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