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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 |
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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 | |
Publication status | Published - 1 Mar 2014 |
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Dive into the research topics of 'Global stability of an age-structured population model'. Together they form a unique fingerprint.Projects
- 1 Finished
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Nonlinear Feedback Loops and Robustness in Modelling Biological Invasions
Engineering and Physical Sciences Research Council
1/10/11 → 28/02/15
Project: Research council