Zero-one survival behavior of cyclically competing species
Berr M, Reichenbach T, Schottenloher M, Frey E (2009)
Publication Type: Journal article
Publication year: 2009
Journal
Book Volume: 102
Article Number: 048102
Journal Issue: 4
DOI: 10.1103/PhysRevLett.102.048102
Abstract
The coexistence 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 nontrivial 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 extinction. We rationalize our findings from stochastic simulations by an analytic approach. © 2009 The American Physical Society.
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APA:
Berr, M., Reichenbach, T., Schottenloher, M., & Frey, E. (2009). Zero-one survival behavior of cyclically competing species. Physical Review Letters, 102(4). https://doi.org/10.1103/PhysRevLett.102.048102
MLA:
Berr, Maximilian, et al. "Zero-one survival behavior of cyclically competing species." Physical Review Letters 102.4 (2009).
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