Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition

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dc.creatorO'Malley, L.
dc.creatorKozma, B.
dc.creatorKorniss, G.
dc.creatorRacz, Z.
dc.creatorCaraco, T.
dc.date2006-08-01
dc.date.accessioned2026-07-07T07:26:16Z
dc.date.available2026-07-07T07:26:16Z
dc.descriptionWe study front propagation when an invading species competes with a resident; we assume nearest-neighbor preemptive competition for resources in an individual-based, two-dimensional lattice model. The asymptotic front velocity exhibits power-law dependence on the difference between the two species' clonal propagation rates (key ecological parameters). The mean-field approximation behaves similarly, but the power law's exponent slightly differs from the individual-based model's result. We also study roughening of the front, using the framework of non-equilibrium interface growth. Our analysis indicates that initially flat, linear invading fronts exhibit Kardar-Parisi-Zhang (KPZ) roughening in one transverse dimension. Further, this finding implies, and is also confirmed by simulations, that the temporal correction to the asymptotic front velocity is of ${\cal O}(t^{-2/3})$.
dc.description8 pages, 5 figures; Papers on related work can be found at http://www.rpi.edu/~korniss/Research
dc.identifierhttps://arxiv.org/abs/q-bio/0608001
dc.identifierhttp://arxiv.org/abs/q-bio/0608001
dc.identifierPhys. Rev. E 74, 041116 (2006) .
dc.identifierdoi:10.1103/PhysRevE.74.041116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117015
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.titleFisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition
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