Global Bifurcation of Positive Equilibria in Nonlinear Population Models

Details Global Bifurcation of Positive Equilibria in Nonlinear Population Models Global Bifurcation of Positive Equilibria in Nonlinear Population Models

2009-07-07

arxiv.org/abs/0907.1235v1

Mathematics

Analysis of PDEs

17 pages

Scientific paper

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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