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Delays, variability, age structure, and the persistence of ecological species

PDE and Applied Math Seminar

Speaker: Alan Hastings, UC Davis
Location: 1147 MSB
Start time: Tue, May 7 2013, 1:00PM

I will develop VERY simple models of the interaction between delays and variable resources in ecological populations. The results are surprising, and depend on simple analysis of differential equation systems. Tools include Floquet multipliers, the 'linear chain trick' and ideas from asymptotics. I will discuss applciations to ecological systems and also implications for the spectral radius of the sums of positive matrices.