|Appears in Collections:||Computing Science and Mathematics Journal Articles|
|Title:||On the asymptotic behaviour of the non-autonomous Gurtin-MacCamy equation|
|Authors:||Farkas, Jozsef Zoltan|
|Keywords:||Structured population dynamics|
boundedness of solutions
|Publisher:||Eotvos Lorand University|
|Citation:||Farkas JZ (2003) On the asymptotic behaviour of the non-autonomous Gurtin-MacCamy equation, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica, 46, pp. 111-120.|
|Abstract:||In this paper we consider a non-autonomous age-structured population dynamical model. Our model is a generalization of the classical Gurtin-MacCamy system, that is we consider explicitly time dependent vital rates, which makes a problem a non-autonomus one. Similarly to Iannelli, M. etal (2002), we investigate the global behaviour of the solutions of the system. Motivated by the stability conditions arrived in Farkas, J.Z., forthcoming, for the similar autonomous model, we are able to show - under not only mathematically simple even biologically meaningful conditions - some results for the asymptotics of the solutions.|
|Rights:||The publisher has not responded to our queries therefore this work cannot be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.|
|Affiliation:||Mathematics - CSM Dept|
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