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Advances in Complex Systems
Article . 2003 . Peer-reviewed
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SURVIVAL AND EXTINCTION IN THE REPLICATOR MODEL: DYNAMICS AND STATISTICS

Survival and extinction in the replicator model: dynamics and statistics
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2003 English Publisher:World Scientific Pub Co Pte LtJournal:Advances in Complex Systems, volume 6, pages 223-240 (issn: 0219-5259, eissn: 1793-6802, Copyright policy )
Authors: SEBASTIÁN BOUZAT; DAMIÁN H. ZANETTE;

doi: 10.1142/s0219525903000815

SURVIVAL AND EXTINCTION IN THE REPLICATOR MODEL: DYNAMICS AND STATISTICS

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.

Related Organizations
Keywords

Ecology, survival strategy, Replicator dynamics, ecosystem models, survival strategy, Dynamical systems in biology, replicator dynamics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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