Global asymptotic stability of density dependent integral population projection models |
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| Authors: | Rebarber Richard Tenhumberg Brigitte Townley Stuart |
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| Institution: | a Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, USAb School of Biological Sciences, University of Nebraska-Lincoln, Lincoln, NE, USAc Mathematics Research Institute, College of Engineering, Mathematics & Physical Sciences, University of Exeter, Exeter, EX4 4QF, UK |
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| 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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| Keywords: | Density dependence Integral projection Nonlinear feedback Population dynamics Stage structured model |
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