Multiple attractors in a Leslie-Gower competition system with Allee effects

被引：7
|
作者：
Chow, Yunshyong [1 ]
Jang, Sophia R. -J. [2 ]
机构：
[1] Acad Sinica, Inst Math, Taipei 10617, Taiwan
[2] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2014年 / 20卷 / 02期
关键词：
Allee effects; monotone maps; global stable manifolds; EXTINCTION; EXCLUSION; MODELS;
D O I：
10.1080/10236198.2013.815166
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate asymptotic dynamics of the classical Leslie-Gower competition model when both competing populations are subject to Allee effects. The system may possess four interior steady states. It is proved that for certain parameter regimes both competing populations may either go extinct, coexist or one population drives the other population to extinction depending on initial conditions.
引用
收藏
页码：169 / 187
页数：19
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