Stochastic effects on biodiversity in cyclic coevolutionary dynamics

Tobias Reichenbach; Mauro Mobilia; Erwin Frey

Banach Center Publications (2008)

  • Volume: 80, Issue: 1, page 259-264
  • ISSN: 0137-6934

Abstract

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Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.

How to cite

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Tobias Reichenbach, Mauro Mobilia, and Erwin Frey. "Stochastic effects on biodiversity in cyclic coevolutionary dynamics." Banach Center Publications 80.1 (2008): 259-264. <http://eudml.org/doc/282423>.

@article{TobiasReichenbach2008,
abstract = {Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.},
author = {Tobias Reichenbach, Mauro Mobilia, Erwin Frey},
journal = {Banach Center Publications},
keywords = {competing populations; stochastic models; deterministic models},
language = {eng},
number = {1},
pages = {259-264},
title = {Stochastic effects on biodiversity in cyclic coevolutionary dynamics},
url = {http://eudml.org/doc/282423},
volume = {80},
year = {2008},
}

TY - JOUR
AU - Tobias Reichenbach
AU - Mauro Mobilia
AU - Erwin Frey
TI - Stochastic effects on biodiversity in cyclic coevolutionary dynamics
JO - Banach Center Publications
PY - 2008
VL - 80
IS - 1
SP - 259
EP - 264
AB - Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.
LA - eng
KW - competing populations; stochastic models; deterministic models
UR - http://eudml.org/doc/282423
ER -

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