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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