Noise and Correlations in a Spatial Population Model with Cyclic Competition

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dc.creatorReichenbach, Tobias
dc.creatorMobilia, Mauro
dc.creatorFrey, Erwin
dc.date2007-10-02
dc.date2007-12-08
dc.date.accessioned2026-07-07T08:47:45Z
dc.date.available2026-07-07T08:47:45Z
dc.descriptionNoise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al., Nature {\bf 418}, 171 (2002)]. To reach a better theoretical understanding of these phenomena, we consider a paradigmatic spatial model where three species exhibit cyclic dominance. Using an individual-based description, as well as stochastic partial differential and deterministic reaction-diffusion equations, we account for stochastic fluctuations and spatial diffusion at different levels, and show how fascinating patterns of entangled spirals emerge. We rationalize our analysis by computing the spatio-temporal correlation functions and provide analytical expressions for the front velocity and the wavelength of the propagating spiral waves.
dc.description4 pages of main text, 3 color figures + 2 pages of supplementary material (EPAPS Document). Final version for Physical Review Letters
dc.identifierhttps://arxiv.org/abs/0710.0383
dc.identifierhttp://arxiv.org/abs/0710.0383
dc.identifierPhys. Rev. Lett. 99, 238105 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.238105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143709
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.subjectQuantitative Methods
dc.titleNoise and Correlations in a Spatial Population Model with Cyclic Competition
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