Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1756-1776 |
| Seitenumfang | 21 |
| Fachzeitschrift | Journal of differential equations |
| Jahrgang | 248 |
| Ausgabenummer | 7 |
| Publikationsstatus | Veröffentlicht - 1 Apr. 2010 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal of differential equations, Jahrgang 248, Nr. 7, 01.04.2010, S. 1756-1776.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Global bifurcation of positive equilibria in nonlinear population models
AU - Walker, Christoph
N1 - Copyright: Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/4/1
Y1 - 2010/4/1
N2 - 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.
AB - 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.
KW - Age structure
KW - Global bifurcation
KW - Maximal regularity
KW - Nonlinear diffusion
KW - Population models
UR - http://www.scopus.com/inward/record.url?scp=75849133193&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2009.11.028
DO - 10.1016/j.jde.2009.11.028
M3 - Article
AN - SCOPUS:75849133193
VL - 248
SP - 1756
EP - 1776
JO - Journal of differential equations
JF - Journal of differential equations
SN - 0022-0396
IS - 7
ER -