Details
| Original language | English |
|---|---|
| Pages (from-to) | 159-172 |
| Number of pages | 14 |
| Journal | Journal of Dynamics and Differential Equations |
| Volume | 25 |
| Issue number | 1 |
| Publication status | Published - Mar 2013 |
Abstract
This paper is concerned with a quasilinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion. We make use of global bifurcation theory to prove existence of an unbounded continuum of positive solutions.
Keywords
- Age structure, Global bifurcation, Maximal regularity, Population models, Quasilinear diffusion
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
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In: Journal of Dynamics and Differential Equations, Vol. 25, No. 1, 03.2013, p. 159-172.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Global Continua of Positive Solutions for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition
AU - Walker, Christoph
N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/3
Y1 - 2013/3
N2 - This paper is concerned with a quasilinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion. We make use of global bifurcation theory to prove existence of an unbounded continuum of positive solutions.
AB - This paper is concerned with a quasilinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion. We make use of global bifurcation theory to prove existence of an unbounded continuum of positive solutions.
KW - Age structure
KW - Global bifurcation
KW - Maximal regularity
KW - Population models
KW - Quasilinear diffusion
UR - http://www.scopus.com/inward/record.url?scp=84874571492&partnerID=8YFLogxK
U2 - 10.1007/s10884-013-9292-7
DO - 10.1007/s10884-013-9292-7
M3 - Article
AN - SCOPUS:84874571492
VL - 25
SP - 159
EP - 172
JO - Journal of Dynamics and Differential Equations
JF - Journal of Dynamics and Differential Equations
SN - 1040-7294
IS - 1
ER -