Please use this identifier to cite or link to this item:
Appears in Collections:Computing Science and Mathematics Journal Articles
Title: On the asymptotic behaviour of the non-autonomous Gurtin-MacCamy equation
Author(s): Farkas, Jozsef Zoltan
Contact Email:
Keywords: Structured population dynamics
boundedness of solutions
Issue Date: 2003
Date Deposited: 17-Dec-2012
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.
Licence URL(s):

Files in This Item:
File Description SizeFormat 
boundedness.pdfFulltext - Accepted Version132.25 kBAdobe PDFUnder Embargo until 3000-12-01    Request a copy

Note: If any of the files in this item are currently embargoed, you can request a copy directly from the author by clicking the padlock icon above. However, this facility is dependent on the depositor still being contactable at their original email address.

This item is protected by original copyright

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.