Some remarks on traveling wave solutions in competition models

Pages: 389 - 399, Volume 12, Issue 2, September 2009

doi:10.3934/dcdsb.2009.12.389       Abstract        Full Text (172.1K)       Related Articles

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, integro-difference equation.
Mathematics Subject Classification:  Primary: 92D40, 92D25; Secondary: 47G10.

Received: December 2008;      Revised: April 2009;      Published: July 2009.