EVENT DETAILS AND ABSTRACT

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
Abstract:

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