Baigent, SA;
(2015)
Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems.
Journal of Difference Equations and Applications
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Abstract
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.
Type: | Article |
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Title: | Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems |
Open access status: | An open access version is available from UCL Discovery |
Language: | English |
Additional information: | This is an Author’s Original Manuscript of an article under consideration by Taylor & Francis for publication in the Journal of Difference Equations and Applications. |
Keywords: | Carrying simplex, convexity and concavity, globally attracting invariant manifold |
UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1472146 |
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