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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-17,
author = {Tobias Reichenbach and Mauro Mobilia and Erwin Frey},
title = {Stochastic effects on biodiversity in cyclic coevolutionary dynamics},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {259-264},
zbl = {1138.92376},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-17}
}
Tobias Reichenbach; Mauro Mobilia; Erwin Frey. Stochastic effects on biodiversity in cyclic coevolutionary dynamics. Banach Center Publications, Tome 83 (2008) pp. 259-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-17/