Species clustering in competitive Lotka-Volterra models
C. Lopez, S. Pigolotti, and E. Hernandez-garcia. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
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 kernels.
%0 Book Section
%1 statphys23_0309
%A Lopez, C.
%A Pigolotti, S.
%A Hernandez-garcia, E.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K dynamics ecological ecology evolution formation pattern population statphys23 topic-10
%T Species clustering in competitive Lotka-Volterra models
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=309
%X 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 kernels.
@incollection{statphys23_0309,
abstract = {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 kernels.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Lopez, C. and Pigolotti, S. and Hernandez-garcia, E.},
biburl = {https://www.bibsonomy.org/bibtex/299a4eda35c2110523f857e251df19608/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {0178591623505b5fa01eb334ba7fa54e},
intrahash = {99a4eda35c2110523f857e251df19608},
keywords = {dynamics ecological ecology evolution formation pattern population statphys23 topic-10},
month = {9-13 July},
timestamp = {2007-06-20T10:16:16.000+0200},
title = {Species clustering in competitive Lotka-Volterra models},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=309},
year = 2007
}