6533b853fe1ef96bd12acb7e

RESEARCH PRODUCT

Extinction statistics in N random interacting species

Alessandro FiasconaroBernardo Spagnolo

subject

Statistical Mechanics (cond-mat.stat-mech)random interacting speciesQuantitative Biology::Populations and EvolutionFOS: Physical sciencesCondensed Matter - Statistical Mechanics

description

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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