Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1366-1387 |
Seitenumfang | 22 |
Fachzeitschrift | SIAM Journal on Mathematical Analysis |
Jahrgang | 41 |
Ausgabenummer | 4 |
Publikationsstatus | Veröffentlicht - 2009 |
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 bran ch of (positive) equilibria bifurcates from the trivial equilibrium. In some cases the direction of bifu rcation is analyzed.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Angewandte Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: SIAM Journal on Mathematical Analysis, Jahrgang 41, Nr. 4, 2009, S. 1366-1387.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Positive equilibrium solutions for age- and spatially-structured population models
AU - Walker, Christoph
N1 - Copyright: Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - 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 bran ch of (positive) equilibria bifurcates from the trivial equilibrium. In some cases the direction of bifu rcation is analyzed.
AB - 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 bran ch of (positive) equilibria bifurcates from the trivial equilibrium. In some cases the direction of bifu rcation is analyzed.
KW - Age structure
KW - Bifurcation
KW - Nonlinear diffusion
KW - Population models
UR - http://www.scopus.com/inward/record.url?scp=73349088104&partnerID=8YFLogxK
U2 - 10.1137/090750044
DO - 10.1137/090750044
M3 - Article
AN - SCOPUS:73349088104
VL - 41
SP - 1366
EP - 1387
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 4
ER -