Free Boundary Problems Describing Ecological Models

19th August 2009, 1510 MC206

Professor Zhigui Lin


Yangzhou University, China

will speak on

Free Boundary Problems Describing Ecological Models

This talk is concerned with a system of semilinear parabolic equations with a free boundary, which arises in a mutualistic ecological model. The local existence and uniqueness of a classical solution are obtained by using the Schauder fixed point theorem. The asymptotic behavior of the free boundary is studied. Our results show that the free boundary problem admits a global slow solution if the inter-specific competitions are strong, while if the inter-specific competitions are weak there exist a blowup solution and a global fast solution.