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September  2009, 12(2): 389-399. doi: 10.3934/dcdsb.2009.12.389

Some remarks on traveling wave solutions in competition models

Bingtuan Li 1,

1. 

Department of Mathematics, University of Louisville, Louisville, KY 40292

Received  December 2008 Revised  April 2009 Published  July 2009

We study the existence of traveling wave solutions for competition models in the form of integro-difference equations. We show that for a two-species competition model it is possible that two species spread at different speeds, and there exists a traveling wave solution. For an $m$-species competition model, under the assumption that species have the same dispersal and growth properties but have different competition abilities, we establish the existence of traveling wave solutions.
Keywords: traveling wave, integro-difference equation., Competition.
Mathematics Subject Classification: Primary: 92D40, 92D25; Secondary: 47G1.
Citation: Bingtuan Li. Some remarks on traveling wave solutions in competition models. Discrete & Continuous Dynamical Systems - B, 2009, 12 (2) : 389-399. doi: 10.3934/dcdsb.2009.12.389
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