English

Survival in the replicator model: Dynamics and statistics

Adaptation and Self-Organizing Systems 2007-05-23 v1 q-bio

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.

Keywords

Cite

@article{arxiv.nlin/0210018,
  title  = {Survival in the replicator model: Dynamics and statistics},
  author = {Sebastian Bouzat and Damian Zanette},
  journal= {arXiv preprint arXiv:nlin/0210018},
  year   = {2007}
}

Comments

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