Age-dependent equations with non-linear diffusion

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Authors

  • Christoph Walker

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Details

Original languageEnglish
Pages (from-to)691-712
Number of pages22
JournalDiscrete and Continuous Dynamical Systems
Volume26
Issue number2
Publication statusPublished - 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

Cite this

Age-dependent equations with non-linear diffusion. / Walker, Christoph.
In: Discrete and Continuous Dynamical Systems, Vol. 26, No. 2, 02.2010, p. 691-712.

Research output: Contribution to journalArticleResearchpeer review

Walker C. Age-dependent equations with non-linear diffusion. Discrete and Continuous Dynamical Systems. 2010 Feb;26(2):691-712. doi: 10.3934/dcds.2010.26.691
Walker, Christoph. / Age-dependent equations with non-linear diffusion. In: Discrete and Continuous Dynamical Systems. 2010 ; Vol. 26, No. 2. pp. 691-712.
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