Stochastic effects on biodiversity in cyclic coevolutionary dynamics

Volume 80 / 2008

Tobias Reichenbach, Mauro Mobilia, Erwin Frey Banach Center Publications 80 (2008), 259-264 MSC: Primary 92D25; Secondary 82-06. DOI: 10.4064/bc80-0-17

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.

Authors

  • Tobias ReichenbachArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail
  • Mauro MobiliaArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail
  • Erwin FreyArnold Sommerfeld Center for Theoretical Physics (ASC)
    and Center for NanoScience (CeNS)
    Department of Physics
    Ludwig-Maximilians-Universität München
    Theresienstrasse 37
    D-80333 München, Germany
    e-mail

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