The Stability Analysis of a PredatorPrey System with Allee Effect

Journal of Liaoning Petrochemical University ›› 2013, Vol. 33 ›› Issue (3): 75-77.

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The Stability Analysis of a PredatorPrey System with Allee Effect

WENG Cuiqin, YI Na^*

School of Sciences, Liaoning Shihua University, Fushun Liaoning 113001, China

Received:2013-03-06 Published:2013-09-25 Online:2017-07-14

具有Allee效应的捕食者灢食饵系统的稳定性分析

翁翠芹,衣娜^*

辽宁石油化工大学理学院,辽宁抚顺113001

作者简介:翁翠芹(1991-),女,天津市
基金资助:
国家自然科学基金项目(61104066);辽宁省教育
厅科研项目(W2010302)

Abstract

Abstract: The stability problem for a predatorprey system with Allee effect was studied. The existence for the positive fixed points of the system with harvesting in the predator was investigated. Then the stability for the positive fixed points of the system was analyzed by the stability condition of RouthHurvitz. Finally, numerical simulations displayed the complex dynamical behaviors.

Key words: Allee effect , Predatorprey system , Stability , Positive fixed points , The stability condition of RouthHurvitz

摘要： 研究了具有Allee效应的捕食者灢食饵系统稳定性问题。考虑对该系统的捕食者进行捕获,先讨论了
正不动点的存在性,而后利用Routh灢Hurvitz稳定性条件分析该系统的正不动点的稳定性。最后,数值仿真结果给
出了该系统具有复杂的动态行为。

关键词: Allee效应 , 捕食者-食饵系统 , 稳定性 , 正不动点, Routh-Hurvitz稳定性条件

WENG Cuiqin, YI Na. The Stability Analysis of a PredatorPrey System with Allee Effect[J]. Journal of Liaoning Petrochemical University, 2013, 33(3): 75-77.

翁翠芹,衣娜. 具有Allee效应的捕食者灢食饵系统的稳定性分析[J]. 辽宁石油化工大学学报, 2013, 33(3): 75-77.

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The Stability Analysis of a PredatorPrey System with Allee Effect

具有Allee效应的捕食者灢食饵系统的稳定性分析

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