An age-dependent population dynamical model with a small parameter

Authors
Greenhalgh, D Gyori, I Kovacsvolgyi, I
Citation
D. Greenhalgh et al., An age-dependent population dynamical model with a small parameter, MATH COMP M, 31(4-5), 2000, pp. 63-72
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
31
Issue
4-5
Year of publication
2000
Pages
63 - 72
Database
ISI
SICI code
0895-7177(200002/03)31:4-5<63:AAPDMW>2.0.ZU;2-D
Abstract
In this paper, we consider an age-dependent population dynamical model with age interaction, where the nonlinear term depends on a small positive para meter. We prove that under weak assumptions, the solutions of the nonlinear problem give a good approximation to the solution of the linear problem. ( C) 2000 Elsevier Science Ltd. All rights reserved.