Colloque des sciences mathématiques du Québec

1 mars 2013 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Mathematical Models for River Ecosystems

Colloque par Frithjof Lutscher (Université d'Ottawa)

River ecosystems are characterized by unidirectional flow; individuals are at risk of being transported downstream. This movement bias gives rise to the `drift paradox': How can a population persist if individuals are washed out of the system? More generally, advection introduces an asymmetry into riverine ecosystems that affects not only persistence of a single population but also spatial spread and interactions between two or more species. In this talk, I will present a number of reaction-advectiondiffusion models for populations in rivers and other advective environments. I will start with fairly simple equations and move to increasingly complex models of individual behavior and species interactions. I will explain how advection affects population-level patterns, such as persistence, spread or competitive dominance. This talk is aimed at a general audience.

Adresse

UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420