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arXiv · 0812.1279

Species competition: coexistence, exclusion and clustering

Emilio Hernandez-Garcia·Cristobal Lopez·Simone Pigolotti·Ken H. Andersen
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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.

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Emilio Hernandez-Garcia, Cristobal Lopez, Simone Pigolotti, Ken H. Andersen. 2009-07-22. Species competition: coexistence, exclusion and clustering. https://doi.org/10.1098/rsta.2009.0086

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