Interdisciplinary Seminar in Nonlinear Science

Title: Remarkable Dynamics of an Overcompensatory Leslie Population Model
Speaker: Howard Weiss
Speaker Info: Pennsylvania State
Brief Description:
Special Note: More current information may be available at Plan-it Purple

We study the dynamics of an overcompensated Leslie population model where the fertility rates decay exponentially with population size. This nonlinear and noninvertible model has been highlighted by Caswell in his treatise \cite{Cas} on population models. We find a plethora of remarkably complicated dynamical behaviors, many of which have not been previously observed in population models, and which may give rise to new paradigms in population biology and demography. We study the two and three dimensional models and find all codimension one local bifurcations, period doubling cascades, attracting closed curves which bifurcate into strange attractors, multiple co-existing strange attractors with large basins (which cause an intrinsic lack of ``ergodicity
Date: Friday, October 17, 2003
Time: 2:00PM
Where: Tech M416
Contact Person: Keith Burns
Contact email: burns@northwestern.edu
Contact Phone: 847-491-3013
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