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

页码：989 / 1004

页数：16

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