Chaotic attractors in the four-dimensional Leslie-Gower competition model

被引：3
|
作者：
Gyllenberg, Mats [1 ]
Jiang, Jifa [2 ]
Niu, Lei [1 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland
[2] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 402卷
基金：
芬兰科学院; 中国国家自然科学基金;
关键词：
Leslie-Gower model; Carrying simplex; Chaotic attractor; Quasiperiod-doubling cascades; Invasion; 3; LIMIT-CYCLES; CARRYING SIMPLEX; DIFFERENTIAL-EQUATIONS; GLOBAL STABILITY; EQUIVALENT CLASSIFICATION; DYNAMICS; BOUNDARY; SYSTEMS; UNIQUENESS; SIMPLICES;
D O I：
10.1016/j.physd.2019.132186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the occurrence of the chaotic attractor in the four-dimensional classical Leslie-Gower competition model. We find that chaos can be generated by a cascade of quasiperiod-doubling bifurcations starting from a supercritical Neimark-Sacker bifurcation of the positive fixed point in this model. The chaotic attractor is contained in the three-dimensional carrying simplex, that is a globally attracting invariant manifold. Biologically, the result implies that the invasion attempts by an invader into a trimorphic population under the Leslie-Gower dynamics can lead to chaos. (C) 2019 Elsevier B.V. All rights reserved.
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页数：9
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