Details
Original language | English |
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Pages (from-to) | 691-712 |
Number of pages | 22 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 26 |
Issue number | 2 |
Publication status | Published - Feb 2010 |
Abstract
We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend non-linearly and possibly non-locally on the density itself. The abstract approach is applied to concrete examples.
Keywords
- Age structure, Evolution systems, Non-linear diffusion, Population models
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems, Vol. 26, No. 2, 02.2010, p. 691-712.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Age-dependent equations with non-linear diffusion
AU - Walker, Christoph
N1 - Copyright: Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/2
Y1 - 2010/2
N2 - We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend non-linearly and possibly non-locally on the density itself. The abstract approach is applied to concrete examples.
AB - We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend non-linearly and possibly non-locally on the density itself. The abstract approach is applied to concrete examples.
KW - Age structure
KW - Evolution systems
KW - Non-linear diffusion
KW - Population models
UR - http://www.scopus.com/inward/record.url?scp=75849138859&partnerID=8YFLogxK
U2 - 10.3934/dcds.2010.26.691
DO - 10.3934/dcds.2010.26.691
M3 - Article
AN - SCOPUS:75849138859
VL - 26
SP - 691
EP - 712
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 2
ER -