Global stability of an age-structured population model

This version is made available in accordance with publisher policies. Please cite only the published version using the reference above. 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 [1]. 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 in the main result in [1]. We illustrate our results with several biologically meaningful examples.