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Integrodifference equations for invasive species in heterogeneous environments

Mathematical Biology

Speaker: Frithjof Lutscher, University of Ottawa
Location: 2112 MSB
Start time: Mon, Oct 24 2011, 2:10PM

Invasive species can cause considerable economic and ecological damage. Mathematical models are essential in studying such an invasion process and suggesting management options. In this talk, I will present some recent techniques for analyzing the effects of spatial heterogeneity on spread rates of invasive species, in particular averaging techniques on different scales. I will apply these techniques to single species and competing species models. I will also discuss related rules of thumb for invasions with Allee effect. Finally, I will consider density-dependent dispersal processes and outline the mathematical challenges in analyzing the resulting models.