Global stability of an age-structured population model

D. Franco; H. Logemann; J. Perán

doi:10.1016/j.sysconle.2013.11.012

Global stability of an age-structured population model

D. Franco, H. Logemann, J. Perán

Universidad Nacional de Educación a Distancia

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Abstract

We consider a nonlinear discrete-time population model for the dynamics of an age-structured species. This model has the form of a Lure feedback system (well-known in control theory) and is a particular case of the system studied by Townley et al. in Townley et al. (2012). The main objective is to show that, in this case, the range of nonlinearities for which the existence of globally asymptotically stable non-zero equilibrium can be guaranteed is considerably larger than that in the main result in Townley et al. (2012). We illustrate our results with several biologically meaningful examples.

Original language	English
Pages (from-to)	30-36
Number of pages	7
Journal	Systems & Control Letters
Volume	65
Issue number	1
Early online date	22 Jan 2014
DOIs	https://doi.org/10.1016/j.sysconle.2013.11.012
Publication status	Published - 1 Mar 2014

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10.1016/j.sysconle.2013.11.012

logemann_global_stability_s+c_letters
Published version available via: http://dx.doi.org/10.1016/j.sysconle.2013.11.012
Accepted author manuscript, 203 KBLicence: CC BY-NC-ND

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Global stability of an age-structured population model

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Nonlinear Feedback Loops and Robustness in Modelling Biological Invasions

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Global stability of an age-structured population model

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Nonlinear Feedback Loops and Robustness in Modelling Biological Invasions

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