Extinction statistics in N random interacting species

Details Extinction statistics in N random interacting species Extinction statistics in N random interacting species

2008-10-05

arxiv.org/abs/0810.0814v1

Acta Physica Polonica B, Vol. 38 (5), 1775 - 1783 (2007)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures, Presented at the 19th Marian Smoluchowski Symposium on Statistical Physics, Krakow, Poland, May 14-17, 200

Scientific paper

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.

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