Details
| Original language | English |
|---|---|
| Pages (from-to) | 149-179 |
| Number of pages | 31 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 660 |
| Publication status | Published - Nov 2011 |
Abstract
The paper focuses on positive solutions to a coupled system of parabolic equations with nonlocal initial conditions. Such equations arise as steady-state equations in an age-structured predator-prey model with diffusion. By using global bifurcation techniques, we describe the structure of the set of positive solutions with respect to two parameters measuring the intensities of the fertility of the species. In particular, we establish co-existence steady-states, i.e. solutions which are nonnegative and nontrivial in both components.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal fur die Reine und Angewandte Mathematik, No. 660, 11.2011, p. 149-179.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
AU - Walker, Christoph
N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/11
Y1 - 2011/11
N2 - The paper focuses on positive solutions to a coupled system of parabolic equations with nonlocal initial conditions. Such equations arise as steady-state equations in an age-structured predator-prey model with diffusion. By using global bifurcation techniques, we describe the structure of the set of positive solutions with respect to two parameters measuring the intensities of the fertility of the species. In particular, we establish co-existence steady-states, i.e. solutions which are nonnegative and nontrivial in both components.
AB - The paper focuses on positive solutions to a coupled system of parabolic equations with nonlocal initial conditions. Such equations arise as steady-state equations in an age-structured predator-prey model with diffusion. By using global bifurcation techniques, we describe the structure of the set of positive solutions with respect to two parameters measuring the intensities of the fertility of the species. In particular, we establish co-existence steady-states, i.e. solutions which are nonnegative and nontrivial in both components.
UR - http://www.scopus.com/inward/record.url?scp=80755143425&partnerID=8YFLogxK
U2 - 10.1515/CRELLE.2011.074
DO - 10.1515/CRELLE.2011.074
M3 - Article
AN - SCOPUS:80755143425
SP - 149
EP - 179
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
IS - 660
ER -