Global stability of an age-structured population model

D. Franco, H. Logemann, J. Perán

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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 languageEnglish
Pages (from-to)30-36
Number of pages7
JournalSystems & Control Letters
Volume65
Issue number1
Early online date22 Jan 2014
DOIs
Publication statusPublished - 1 Mar 2014

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Global stability of an age-structured population model. / Franco, D.; Logemann, H.; Perán, J.

In: Systems & Control Letters, Vol. 65, No. 1, 01.03.2014, p. 30-36.

Research output: Contribution to journalArticle

Franco, D. ; Logemann, H. ; Perán, J. / Global stability of an age-structured population model. In: Systems & Control Letters. 2014 ; Vol. 65, No. 1. pp. 30-36.
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