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- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Springer Basel AG
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-010-0086-7
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we describe how techniques of asymptotic analysis can be used in a systematic way to perform ‘aggregation’ of variables, based on a separation of different time scales, in a population model with age and space structure. The main result of the paper is proving the convergence of the formal asymptotic expansion to the solution of the original equation. This result improves and clarifies earlier results of Arino et al. (SIAM J Appl Math 60(2):408–436, 1999 ), Auger et al. (Structured population models in biology and epidemiology. Springer Verlag, Berlin, 2008 ), Lisi and Totaro (Math Biosci 196(2):153–186, 2005 ).
Journal
Journal of Evolution Equations – Springer Journals
Published: Mar 1, 2011