Zero-one survival behavior of cyclically competing species

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dc.creatorBerr, Maximilian
dc.creatorReichenbach, Tobias
dc.creatorSchottenloher, Martin
dc.creatorFrey, Erwin
dc.date2008-12-22
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:35:29Z
dc.date.available2026-07-07T12:35:29Z
dc.descriptionCoexistence of competing species is, due to unavoidable fluctuations, always transient. In this Letter, we investigate the ultimate survival probabilities characterizing different species in cyclic competition. We show that they often obey a surprisingly simple, though non-trivial behavior. Within a model where coexistence is neutrally stable, we demonstrate a robust zero-one law: When the interactions between the three species are (generically) asymmetric, the `weakest' species survives at a probability that tends to one for large population sizes, while the other two are guaranteed to extinct. We rationalize our findings from stochastic simulations by an analytic approach.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0812.4191
dc.identifierhttp://arxiv.org/abs/0812.4191
dc.identifierPhys. Rev. Lett. 102, 048102 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.048102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217778
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.titleZero-one survival behavior of cyclically competing species
dc.typetext

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