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arxiv: 0902.2946 · v1 · submitted 2009-02-17 · 🧮 math.AP

Positive Equilibrium Solutions for Age and Spatially Structured Population Models

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keywords equilibriumpositivebifurcationpopulationsolutionsabstractage-dependentanalyzed
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The existence of positive equilibrium solutions to age-dependent population equations with nonlinear diffusion is studied in an abstract setting. By introducing a bifurcation parameter measuring the intensity of the fertility it is shown that a branch of (positive) equilibria bifurcates from the trivial equilibrium. In some cases the direction of bifurcation is analyzed.

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