Extinction statistics in N random interacting species
Statistical Mechanics
2008-10-07 v1
Abstract
A randomly interacting N-species Lotka-Volterra system in the presence of a Gaussian multiplicative noise is analyzed. The investigation is focused on the role of this external noise into the statistical properties of the extinction times of the populations. The distributions show a Gaussian shape for each noise intensity value investigated. A monotonic behavior of the mean extinction time as a function of the noise intensity is found, while a nonmonotonic behavior of the width of the extinction time probability distribution characterizes the dynamical evolution.
Cite
@article{arxiv.0810.0814,
title = {Extinction statistics in N random interacting species},
author = {Alessandro Fiasconaro and Bernardo Spagnolo},
journal= {arXiv preprint arXiv:0810.0814},
year = {2008}
}
Comments
9 pages, 4 figures, Presented at the 19th Marian Smoluchowski Symposium on Statistical Physics, Krakow, Poland, May 14-17, 2006