| Abstract: |
| A traveling wave solution is one of special solutions in PDEs, which has a constant profile and a constant velocity. Properties of traveling wave solution of Fisher-KPP equation are well known. For example, there exists a minimum velocity $c^*>0$ such that Fisher-KPP equation has a traveling wave solution with any velocity $c\geq c^*$. In this talk, we consider Fisher-KPP equation with population pressure which is one species model for the cross-diffusion competition system proposed by Shigesada, Kawasaki and Teramoto. We discuss on the minimum wave velocity of the model. |
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