Global bifurcation of positive equilibria in nonlinear population models

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Authors

  • Christoph Walker

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Original languageEnglish
Pages (from-to)1756-1776
Number of pages21
JournalJournal of differential equations
Volume248
Issue number7
Publication statusPublished - 1 Apr 2010

Abstract

Existence of nontrivial nonnegative equilibrium solutions for age-structured population models with nonlinear diffusion is investigated. Introducing a parameter measuring the intensity of the fertility, global bifurcation is shown of a branch of positive equilibrium solutions emanating from the trivial equilibrium. Moreover, for the parameter-independent model we establish existence of positive equilibria by means of a fixed point theorem for conical shells.

Keywords

    Age structure, Global bifurcation, Maximal regularity, Nonlinear diffusion, Population models

ASJC Scopus subject areas

Cite this

Global bifurcation of positive equilibria in nonlinear population models. / Walker, Christoph.
In: Journal of differential equations, Vol. 248, No. 7, 01.04.2010, p. 1756-1776.

Research output: Contribution to journalArticleResearchpeer review

Walker C. Global bifurcation of positive equilibria in nonlinear population models. Journal of differential equations. 2010 Apr 1;248(7):1756-1776. doi: 10.1016/j.jde.2009.11.028
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