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Survival in the replicator model: Dynamics and statistics

Sebastian Bouzat·Damian Zanette
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Abstract

We study the multi-species replicator model with linear fitness and random fitness matrices of various classes. By means of numerical resolution of the replicator equations, we determine the survival probability of a species in terms of its average interaction with the rest of the system. The role of the interaction pattern of the ecosystem in defining survival and extinction probabilities is emphasized.

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Sebastian Bouzat, Damian Zanette. 2002-10-09. Survival in the replicator model: Dynamics and statistics. https://arxiv.org/abs/nlin/0210018

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