Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4502537 | Theoretical Population Biology | 2012 | 7 Pages |
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.
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Authors
Richard Rebarber, Brigitte Tenhumberg, Stuart Townley,