LSAM 2017: The effect of a line with fast diffusion on Fisher-KPP propagation

Time:

Venue/Location: C2-714 VIASM

Invited Speakers: Henri Berestycki - École des hautes études en sciences sociales (EHESS), PSL Research University, Paris (France)

Content:

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 (the “field”). Outside of the road, the propagation is of the classical Fisher-KPP type. We find that past a certain precise threshold for the ratio of diffusivity coefficients, the presence of the road enhances the speed of global propagation. I will discuss several further effects such as transport or reaction on the road. I will also discuss the influence of various parameters on the asymptotic behaviour of the invasion speed and shape. I report here on results from a series of joint works with Jean-Michel Roquejoffre and Luca Rossi. Lastly I will also discuss some results regarding the effects of climate change in this setting.

Chuỗi bài giảng toán ứng dụng của VIASM (Lecture Series in Applied Mathematics - LSAM) được đồng hành bởi: