Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems |
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| Authors: | Stephen Baigent |
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| Institution: | 1. Department of Mathematics, UCL, London, UK.steve.baigent@ucl.ac.uk |
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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. |
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| Keywords: | Carrying simplex convexity and concavity invariant manifold Leslie–Gower |
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