dorsal/arxiv
View SchemaFisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition
| Authors | L. O'Malley, B. Kozma, G. Korniss, Z. Racz, T. Caraco |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608001 |
| URL | https://arxiv.org/abs/q-bio/0608001 |
| DOI | 10.1103/PhysRevE.74.041116 |
| Journal | Phys. Rev. E 74, 041116 (2006) . |
Abstract
We 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 ${\cal O}(t^{-2/3})$.
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"abstract": "We study front propagation when an invading species competes with a resident;\nwe assume nearest-neighbor preemptive competition for resources in an\nindividual-based, two-dimensional lattice model. The asymptotic front velocity\nexhibits power-law dependence on the difference between the two species\u0027 clonal\npropagation rates (key ecological parameters). The mean-field approximation\nbehaves similarly, but the power law\u0027s exponent slightly differs from the\nindividual-based model\u0027s result. We also study roughening of the front, using\nthe framework of non-equilibrium interface growth. Our analysis indicates that\ninitially flat, linear invading fronts exhibit Kardar-Parisi-Zhang (KPZ)\nroughening in one transverse dimension. Further, this finding implies, and is\nalso confirmed by simulations, that the temporal correction to the asymptotic\nfront velocity is of ${\\cal O}(t^{-2/3})$.",
"arxiv_id": "q-bio/0608001",
"authors": [
"L. O\u0027Malley",
"B. Kozma",
"G. Korniss",
"Z. Racz",
"T. Caraco"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.74.041116",
"journal_ref": "Phys. Rev. E 74, 041116 (2006) .",
"title": "Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition",
"url": "https://arxiv.org/abs/q-bio/0608001"
},
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