Species competition: coexistence, exclusion and clustering
Populations and Evolution
2009-07-22 v2 Pattern Formation and Solitons
Quantitative Methods
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.
Cite
@article{arxiv.0812.1279,
title = {Species competition: coexistence, exclusion and clustering},
author = {Emilio Hernandez-Garcia and Cristobal Lopez and Simone Pigolotti and Ken H. Andersen},
journal= {arXiv preprint arXiv:0812.1279},
year = {2009}
}
Comments
9 pages, 4 figures. Replaced with published version. Freely available from the publisher site under the Creative Commons Attribution license