Fisher waves and front roughening in a two-species invasion model with preemptive competition

L. O'malley, B. Kozma, G. Korniss, Z. Rácz, T. Caraco

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 an effective 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 nonequilibrium 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 O (t-23).

Original languageEnglish
Article number041116
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number4
DOIs
Publication statusPublished - Jan 1 2006

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Invasion
Power Law
Individual-based Model
Front Propagation
Mean-field Approximation
Lattice Model
Model
propagation
Non-equilibrium
Nearest Neighbor
Transverse
Exponent
Propagation
resources
Imply
Resources
exponents
Simulation
approximation
simulation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Fisher waves and front roughening in a two-species invasion model with preemptive competition. / O'malley, L.; Kozma, B.; Korniss, G.; Rácz, Z.; Caraco, T.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 74, No. 4, 041116, 01.01.2006.

Research output: Contribution to journalArticle

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