Global asymptotic stability of density dependent integral population projection models

Richard Rebarber, Brigitte Tenhumberg and Stuart Townley

Theoretical Population Biology, 2012, vol. 81, issue 1, 81-87

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.

Keywords: Density dependence; Integral projection; Nonlinear feedback; Population dynamics; Stage structured model (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:81:y:2012:i:1:p:81-87

DOI: 10.1016/j.tpb.2011.11.002

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