Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems

被引：14

作者：

Baigent, Stephen ^{[1
]}

机构：

[1] UCL, Dept Math, London, England

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 05期

关键词：

Carrying simplex; convexity and concavity; invariant manifold; Leslie-Gower;

D O I：

10.1080/10236198.2015.1125895

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the geometry of carrying simplices of discrete-time competitive Kolmogorov systems. An existence theorem for the carrying simplex based upon the Hadamard graph transform is developed, and conditions for when the transform yields a sequence of convex or concave graphs are determined. As an application it is shown that the planar Leslie-Gower model has a carrying simplex that is convex or concave.

引用

页码：609 / 622

页数：14

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