Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/10333
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
Contact Email: jozsef.farkas@stir.ac.uk
Keywords: Structured population dynamics
boundedness of solutions
Issue Date: 2003
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.
Type: Journal Article
URI: http://hdl.handle.net/1893/10333
URL: http://www.cs.elte.hu/~annalesm/vol46trt.pdf
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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