Species clustering in competitive Lotka-Volterra models

Details Species clustering in competitive Lotka-Volterra models Species clustering in competitive Lotka-Volterra models

2007-02-16

arxiv.org/abs/q-bio/0702035v1

Phys. Rev. Lett. 98, 258101 (2007)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.98.258101

We study the properties of Lotka-Volterra competitive models in which the intensity of the interaction among species depends on their position along an abstract niche space through a competition kernel. We show analytically and numerically that the properties of these models change dramatically when the Fourier transform of this kernel is not positive definite, due to a pattern forming instability. We estimate properties of the species distributions, such as the steady number of species and their spacings, for different types of kernels.

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