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Global asymptotic stability of density dependent integral population projection models

Author

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  • Rebarber, Richard
  • Tenhumberg, Brigitte
  • Townley, Stuart

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.

Suggested Citation

  • Rebarber, Richard & Tenhumberg, Brigitte & Townley, Stuart, 2012. "Global asymptotic stability of density dependent integral population projection models," Theoretical Population Biology, Elsevier, vol. 81(1), pages 81-87.
    • Handle: RePEc:eee:thpobi:v:81:y:2012:i:1:p:81-87
    DOI: 10.1016/j.tpb.2011.11.002
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