Details
| Original language | English |
|---|---|
| Pages (from-to) | 1366-1387 |
| Number of pages | 22 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 41 |
| Issue number | 4 |
| Publication status | Published - 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.
Keywords
- Age structure, Bifurcation, Nonlinear diffusion, Population models
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: SIAM Journal on Mathematical Analysis, Vol. 41, No. 4, 2009, p. 1366-1387.
Research output: Contribution to journal › Article › Research › 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 -