A note on a nonlocal nonlinear reaction-diffusion model

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Authors

  • Christoph Walker

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Details

Original languageEnglish
Pages (from-to)1772-1777
Number of pages6
JournalApplied mathematics letters
Volume25
Issue number11
Publication statusPublished - Nov 2012

Abstract

Wegive an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well as nonlocal initial conditions. The system arises as steady-state equations of two interacting age-structured populations.

Keywords

    Age structure, Bifurcation, Cross-diffusion, Maximal regularity, Steady states

ASJC Scopus subject areas

Cite this

A note on a nonlocal nonlinear reaction-diffusion model. / Walker, Christoph.
In: Applied mathematics letters, Vol. 25, No. 11, 11.2012, p. 1772-1777.

Research output: Contribution to journal › Article › Research › peer review

Walker C. A note on a nonlocal nonlinear reaction-diffusion model. Applied mathematics letters. 2012 Nov;25(11):1772-1777. doi: 10.1016/j.aml.2012.02.010
Walker, Christoph. / A note on a nonlocal nonlinear reaction-diffusion model. In: Applied mathematics letters. 2012 ; Vol. 25, No. 11. pp. 1772-1777.
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