Species clustering in competitive Lotka-Volterra models

• DOI: 10.1103/PhysRevLett.98.258101
• ArXiv number: q-bio/0702035

We study the properties of general Lotka-Volterra models with competitive interactions. The intensity of the competition depends on the position of species in an abstract niche space through an interaction 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 interactions, including stretched exponential and constant kernels.

• Full paper

Additional files

• Pigo_prl.pdf

Related research projects

CONOCE II

Cooperación y Fenómenos no lineales en sistemas Complejos Extendidos 2

P.I.: Maxi San Miguel

Representa un esfuerzo de investigación cooperativo y no lineal en el contexto general interdisciplinario de las nuevas direcciones de la Física Estadística y No Lineal, con especial referencia a sistemas extendidos con …