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Abstract
We consider a nonlinear discretetime population model for the dynamics of an agestructured species. This model has the form of a Lure feedback system (wellknown 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 nonzero 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 (fromto)  3036 
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 agestructured population model'. Together they form a unique fingerprint.Projects
 1 Finished

Nonlinear Feedback Loops and Robustness in Modelling Biological Invasions
Engineering and Physical Sciences Research Council
1/10/11 → 28/02/15
Project: Research council