Age-dependent equations with non-linear diffusion

authored by

Christoph Walker

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.

Organisation(s)

Institute of Applied Mathematics

Type

Article

Journal

Discrete and Continuous Dynamical Systems

Volume

26

Pages

691-712

No. of pages

22

ISSN

1078-0947

Publication date

02.2010

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis, Discrete Mathematics and Combinatorics, Applied Mathematics

Electronic version(s)

https://doi.org/10.3934/dcds.2010.26.691 (Access: Open)