Global Bifurcation of Positive Equilibria in Nonlinear Population Models
Analysis of PDEs
2009-07-08 v1 Functional Analysis
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.
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Cite
@article{arxiv.0907.1235,
title = {Global Bifurcation of Positive Equilibria in Nonlinear Population Models},
author = {Christoph Walker},
journal= {arXiv preprint arXiv:0907.1235},
year = {2009}
}
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17 pages