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
收藏
页码：609 / 622
页数：14
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