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Some remarks on traveling wave solutions in competition models

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  • 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.
    Mathematics Subject Classification: Primary: 92D40, 92D25; Secondary: 47G10.


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