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Open Access item Species competition: coexistence, exclusion and clustering

Authors:Hernández-García, Emilio
López, Cristóbal
Pigolotti, Simone
Andersen, Ken H.
Keywords:Competition, Lotka-Volterra, Competitive exclusion, Limiting similarity, Pattern formation
Issue Date:6-Dec-2008
Citation:Philosophical Transactions of The Royal Society A (2009), doi: 10.1098/rsta.2009.0086 (In press)
Abstract:We present properties of Lotka-Volterra equations describing ecological competition among a large number of competing species. First we extend to the case of a non-homogeneous niche space stability conditions for solutions representing species coexistence. Second, we discuss mechanisms leading to species clustering and obtain an analytical solution for a lumped state in a specific instance of the system. We also discuss how realistic ecological interactions may result in different types of competition coefficients.
Description:13 pages, 4 figures, 1 appendix.-- Submitted to: Philosophical Transactions of The Royal Society A: Mathematical Physical and Engineering Sciences.
ArXiv pre-print available at: http://arxiv.org/abs/0812.1279
Appears in Collections:(IFISC) Artículos

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