| Abstract: |
| We consider front propagation in the classical 2-species Lotka-Volterra competition-diffusion system under strong competition conditions. The system has a unique traveling front solution (up to translation) connecting two stable states. The sign of the front speed gives us significant information about which species prevails over the other, and identifying the sign is still a challenging problem. In this talk, we give some new results on the sign of the speed of bistable traveling fronts based on comparison arguments. The results determine the propagation direction of the front for a much broader range of parameters than previous results. |
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