The principle of linearized stability in age-structured diffusive populations

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Christoph Walker
  • Josef Zehetbauer

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Details

OriginalspracheEnglisch
Seiten (von - bis)620-656
Seitenumfang37
FachzeitschriftJournal of differential equations
Jahrgang341
Frühes Online-Datum30 Sept. 2022
PublikationsstatusVeröffentlicht - 25 Dez. 2022

Abstract

The principle of linearized stability is established for age-structured diffusive populations incorporating nonlinear death and birth processes. More precisely, asymptotic exponential stability is shown for equilibria for which the semigroup associated with the linearization at the equilibrium has a negative growth bound. The result is derived in an abstract framework and applied in concrete situations.

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The principle of linearized stability in age-structured diffusive populations. / Walker, Christoph; Zehetbauer, Josef.
in: Journal of differential equations, Jahrgang 341, 25.12.2022, S. 620-656.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Walker C, Zehetbauer J. The principle of linearized stability in age-structured diffusive populations. Journal of differential equations. 2022 Dez 25;341:620-656. Epub 2022 Sep 30. doi: 10.48550/arXiv.2112.15005, 10.1016/j.jde.2022.09.025
Walker, Christoph ; Zehetbauer, Josef. / The principle of linearized stability in age-structured diffusive populations. in: Journal of differential equations. 2022 ; Jahrgang 341. S. 620-656.
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