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A mini-review
Some remarks on traveling wave solutions in competition models
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.