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Henri Berestycki

2013-10-22
09:10:00 - 10:00:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

I will present a system of equations describing the effect of inclusion of a line (the "road") with fast diffusion on biological invasions in the plane. A classical Fisher-KPP propagation is assumed outside of the road. It is found that past a certain threshold for the ratio of diffusivity coefficients, the presence of the road enhances the global propagation. I will discuss several other effects such as transport or reaction on the "road". I will also derive the asymptotic behavior of the invasion speed depending on the various parameters. These results are from a series of joint works with Jean-Michel Roquejoffre and Luca Rossi.