Coexistence in a one-dimensional cyclic dominance process

Winkler AA, Reichenbach T, Frey E (2010)

Publication Type: Journal article

Publication year: 2010

Journal

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics American Physical Society (APS)

Book Volume: 81

Article Number: 060901

Journal Issue: 6

DOI: 10.1103/PhysRevE.81.060901

Abstract

Cyclic (rock-paper-scissors-type) population models serve to mimic complex species interactions. Focusing on a paradigmatic three-species model with mutations in one dimension, we observe an interplay between equilibrium and nonequilibrium processes in the stationary state. We exploit these insights to obtain asymptotically exact descriptions of the emerging reactive steady state in the regimes of high and low mutation rates. The results are compared to stochastic lattice simulations. Our methods and findings are potentially relevant for the spatiotemporal evolution of other nonequilibrium stochastic processes. © 2010 The American Physical Society.

Authors with CRIS profile

Tobias Reichenbach

Involved external institutions

Rockefeller University US United States (USA) (US) Ludwig-Maximilians-Universität (LMU) DE Germany (DE)

How to cite

APA:

Winkler, A.A., Reichenbach, T., & Frey, E. (2010). Coexistence in a one-dimensional cyclic dominance process. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 81(6). https://doi.org/10.1103/PhysRevE.81.060901

MLA:

Winkler, Anton A., Tobias Reichenbach, and Erwin Frey. "Coexistence in a one-dimensional cyclic dominance process." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 81.6 (2010).

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