Speaker: Azmy S. Ackleh
University of Louisiana at Lafayette.

Title: Structured Population Models with Application to Green Treefrogs

Abstract: As part of a long-term monitoring program, from 2004-2007 we collected data on green treefrogs (Hyla cinerea) using a Capture-Mark-Recapture (CMR) approach. A generalized hypergeometric distribution method is used to provide weekly population estimates from the CMR field data. We present discrete (difference equations) and continuous (partial differential equations) structured models that describe the dynamics of this population, where juveniles (tadpoles) compete for one resource while adults (frogs) compete for another. Theoretical and numerical results pertaining to these models will be discussed including stability analysis for special cases of the discrete system and convergence of numerical approximations for the continuous model.