dc.identifier.uri |
http://dx.doi.org/10.15488/16788 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16915 |
|
dc.contributor.author |
Walker, Christoph
|
|
dc.date.accessioned |
2024-03-26T07:02:27Z |
|
dc.date.available |
2024-03-26T07:02:27Z |
|
dc.date.issued |
2024 |
|
dc.identifier.citation |
Walker, C.: Stability and Instability of Equilibria in Age-Structured Diffusive Populations. In: Journal of Dynamics and Differential Equations (2024), online first. DOI: https://doi.org/10.1007/s10884-023-10340-9 |
|
dc.description.abstract |
The principle of linearized stability and instability is established for a classical model describing the spatial movement of an age-structured population with nonlinear vital rates. It is shown that the real parts of the eigenvalues of the corresponding linearization at an equilibrium determine the latter’s stability or instability. The key ingredient of the proof is the eventual compactness of the semigroup associated with the linearized problem, which is derived by a perturbation argument. The results are illustrated with examples. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
New York, NY [u.a.] : Springer Science + Business Media B.V. |
|
dc.relation.ispartofseries |
Journal of Dynamics and Differential Equations (2024), online first |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
Age structure |
eng |
dc.subject |
Diffusion |
eng |
dc.subject |
Linearization |
eng |
dc.subject |
Semigroups |
eng |
dc.subject |
Stability of equilibria |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Stability and Instability of Equilibria in Age-Structured Diffusive Populations |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1572-9222 |
|
dc.relation.issn |
1040-7294 |
|
dc.relation.doi |
https://doi.org/10.1007/s10884-023-10340-9 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|