dc.identifier.uri |
http://dx.doi.org/10.15488/235 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/257 |
|
dc.contributor.author |
Walker, Christoph
|
|
dc.date.accessioned |
2016-03-04T11:42:36Z |
|
dc.date.available |
2016-03-04T11:42:36Z |
|
dc.date.issued |
2011-11 |
|
dc.identifier.citation |
Walker, Christoph: On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions. In: Journal für die reine und angewandte Mathematik 2011 (2011), Nr. 660, S. 149-179. DOI: http://dx.doi.org/10.1515/CRELLE.2011.074 |
|
dc.description.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. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Berlin : Walter de Gruyter |
|
dc.relation.ispartofseries |
Journal für die reine und angewandte Mathematik 2011 (2011), Nr. 660 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
lotka competition model |
eng |
dc.subject |
differential-equations |
eng |
dc.subject |
population-dynamics |
eng |
dc.subject |
steady-states |
eng |
dc.subject |
predator-prey |
eng |
dc.subject |
bifurcation |
eng |
dc.subject |
pairs |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions |
|
dc.type |
Article |
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dc.type |
Text |
|
dc.relation.essn |
1435-5345 |
|
dc.relation.issn |
0075-4102 |
|
dc.relation.doi |
http://dx.doi.org/10.1515/CRELLE.2011.074 |
|
dc.bibliographicCitation.issue |
660 |
|
dc.bibliographicCitation.volume |
2011 |
|
dc.bibliographicCitation.firstPage |
149 |
|
dc.bibliographicCitation.lastPage |
179 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|