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Traveling wave solutions in an integro-differential competition model

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  • We study the existence of traveling wave solutions for the two-species Lotka-Volterra competition model in the form of integro-differential equations. The model incorporates asymmetric dispersal kernels that describe long distance dispersal processes of competing species in space. Using lower and upper traveling wave solutions, we show that the model has traveling wave solutions that connect the origin and the coexistence equilibrium with speeds greater than the spreading speed of each species in the absence of its rival.
    Mathematics Subject Classification: Primary: 92D40, 92D25, 47G20; Secondary: 34C37, 34K10.


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