| Abstract: |
| In this talk, we treat the competition-diffusion system with nonlinear diffusion term, which was proposed by Shigesada, Kawasaki and Teramoto, and discuss the bifurcation structure of positive stationary solution for the system when the cross-diffusion rate is sufficiently large. To do this, we shall derive a limit system as the cross-diffusion rate tends to infinity, and study the bifurcation structure of positive solution for the limit system by employing the comparison principle and the bifurcation theory. |
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