Stochastic time series obtained from Tribolium (flour beetle)
populations typically suggest cyclic dynamics. We will consider some
general existence/uniqueness theorems for the bifurcation of cycles in
discrete-time dynamical systems, and then we will look at a variety of
ways in which cycles can arise in a general model for the Tribolium
genus. We will observe time series from several species of Tribolium
to determine whether or not such cycles can be identified in noisy
ecological data.
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