Survival in the replicator model: Dynamics and statistics

Details Survival in the replicator model: Dynamics and statistics Survival in the replicator model: Dynamics and statistics

2002-10-09

arxiv.org/abs/nlin/0210018v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Latex, style file: ws-acs.cls (attached). 17 pages including 10 figures in eps format. Submitted to Advances in Complex System

Scientific paper

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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