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» Conférences d’après mars 2011 : nouveau site


Colloque Promenade dans la physique d’aujourd’hui / A Stroll through Today’s Physics

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Can a species keep pace with a shifting climate?
Henri Berestycki (Ehess)

28 juin 2007

We introduce a reaction-diffusion model of the KPP type to describe the dynamics of a biological population facing a climate shift. In this context, global warming is interpreted as a Northward shift of the favourable zone for a given species. In terms of the various parameters, the question is to know whether a species is able to keep track with the climate change and how the latter affects the population size and distribution. The reaction-diffusion model sheds a new light on these questions. This is joint work with Odo Diekman, Kees Nagelkerke and Paul Zegeling (Netherlands). I will also present extensions to higher dimensions, reporting on a joint work with Luca Rossi. These involve nonlinear elliptic and parabolic equations in unbounded domains and generalized principal eigenvalues of elliptic operators. Lastly, I will mention a work with Alain Roques and Lionel Roques about the effects of geographical constraints when an Allee effect is involved.

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