Positive Equilibrium Solutions for Age and Spatially Structured Population Models

2009/02/17 by Christoph Walker, Walker, Christoph · 1 citation
Medicine · Mathematics · Biochemistry, Genetics and Molecular Biology · #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical Biology Tumor Growth #Evolution and Genetic Dynamics

paper · pdf · doi:10.48550/arxiv.0902.2946

Abstract

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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