Some remarks on traveling wave solutions in competition models
Bingtuan Li - Department of Mathematics, University of Louisville, Louisville, KY 40292, United States (email)
Abstract: 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: Competition, traveling wave,
Received: December 2008; Revised: April 2009; Published: July 2009.
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