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Abstract: A randomly interacting N-species Lotka-Volterra system in the presence of aGaussian multiplicative noise is analyzed. The investigation is focused on therole of this external noise into the statistical properties of the extinctiontimes of the populations. The distributions show a Gaussian shape for eachnoise intensity value investigated. A monotonic behavior of the mean extinctiontime as a function of the noise intensity is found, while a nonmonotonicbehavior of the width of the extinction time probability distributioncharacterizes the dynamical evolution.



Autor: Alessandro Fiasconaro, Bernardo Spagnolo

Fuente: https://arxiv.org/



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