Positive Equilibrium Solutions for Age and Spatially Structured Population Models
Analysis of PDEs
2009-02-18 v1
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.
Keywords
Cite
@article{arxiv.0902.2946,
title = {Positive Equilibrium Solutions for Age and Spatially Structured Population Models},
author = {Christoph Walker},
journal= {arXiv preprint arXiv:0902.2946},
year = {2009}
}
Comments
15 pages