In this talk I will discuss the eventual outcomes of two invading competitors based on a two species diffusive competition model with free boundaries. We are interested in a complete understanding of all the possible 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 invading profiles for this system.
This talk is based on theoretical work with Chang-Hong Wu (Taiwan), and numerical work with K. Khan (Australia/Bangladesh), Shuang Liu (USA) and T. Schaerf (Australia).