Survival in the replicator model: Dynamics and statistics

2002/10/09 by Sebastián Bouzat, Sebastian Bouzat, Bouzat, Sebastian +3
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Mathematical and Theoretical Epidemiology and Ecology Models #nlin.AO #q-bio

paper · pdf · doi:10.48550/arxiv.nlin/0210018

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

arxiv created 2002/10/09 · arxiv updated 2009/11/30

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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