Stability analysis of a prey refuge predator-prey model with Allee effects

被引：5

作者：

Ufuktepe, Unal ^{[1
]}

Kulahcioglu, Burcin ^{[2
]}

Akman, Olcay ^{[3
]}

机构：

[1] Amer Univ Middle East, Coll Engn & Technol, Kuwait, Kuwait

[2] Izmir Univ Econ, Dept Math, Izmir, Turkey

[3] Illinois State Univ, Dept Math, Normal, IL 61761 USA

来源：

JOURNAL OF BIOSCIENCES | 2019年 / 44卷 / 04期

关键词：

Allee effect; discrete dynamics; predator-prey model; refuge effect; DYNAMICS;

D O I：

10.1007/s12038-019-9911-5

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We constructed a discrete-time predator-prey model by adding prey refuge and Allee effects (predator saturation on prey and mate limitation on predator) to an earlier prey-predator model and examined its dynamics. We show the existence of positive fixed points and study the stability properties. The numerical simulations and bifurcation diagrams verify the impact of refuge and the Allee mechanism on the system.

引用

页数：9

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