Global bifurcation of positive equilibria in nonlinear population models
- authored by
- Christoph Walker
- 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.
- Organisation(s)
-
Institute of Applied Mathematics
- Type
- Article
- Journal
- Journal of differential equations
- Volume
- 248
- Pages
- 1756-1776
- No. of pages
- 21
- ISSN
- 0022-0396
- Publication date
- 01.04.2010
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Analysis, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.1016/j.jde.2009.11.028 (Access:
Open)
