title: Global asymptotic stability of density dependent integral population projection models.
abstract: Many stage-structured density dependent populations with a continuum of stages can be naturally modeled using nonlinear integral projection models. In this paper, we study a trichotomy of global stability result for a class of density dependent systems which include a Platte thistle model. Specifically, we identify those systems parameters for which zero is globally asymptotically stable, parameters for which there is a positive asymptotically stable equilibrium, and parameters for which there is no asymptotically stable equilibrium.
authors.affiliation: Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, USA. rrebarber1@unl.edu
authors.forename: Richard
authors.initials: R
authors.lastname: Rebarber
authors.forename: Brigitte
authors.initials: B
authors.lastname: Tenhumberg
authors.forename: Stuart
authors.initials: S
authors.lastname: Townley
mesh_terms: D008962:Models, Theoretical; D011157:Population Dynamics