| Abstract: |
| In this talk I will report some recent results on the invading profiles of a two species
competition model with free boundaries. We are interested in a complete classification of the
invading profiles of the system in the weak-strong competition case, where a strong competitor and
a weak competitor invade the spatial environment simultaneously. We show that there are exactly
five different types of long-time invading profiles for this system. This talk is based on theoretical
work with Chang-Hong Wu, and numerical work with K. Khan, Shuang Liu and T. Schaerf. |
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