| Abstract: |
| In this talk, I will report some results on the speed of bistable traveling waves for the 2-component Lotka-Volterra competition-diffusion system. Under strong competition conditions, the propagating speed of a bistable traveling wave is uniquely determined, but there are few results on its sign. Recently, some new results on the sign have been obtained by constructing suitable comparison functions. I will introduce a new comparison function and show that if the interspecific competition coefficients are sufficiently different, the sign of the speed of a bistable traveling wave may not change no matter how the diffusion coefficients and growth rates are changed. |
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