Details
| Original language | English |
|---|---|
| Pages (from-to) | 620-656 |
| Number of pages | 37 |
| Journal | Journal of differential equations |
| Volume | 341 |
| Early online date | 30 Sept 2022 |
| Publication status | Published - 25 Dec 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.
Keywords
- Age structure, Diffusion, Linearization, Semigroups, Stability of equilibria
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Journal of differential equations, Vol. 341, 25.12.2022, p. 620-656.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The principle of linearized stability in age-structured diffusive populations
AU - Walker, Christoph
AU - Zehetbauer, Josef
PY - 2022/12/25
Y1 - 2022/12/25
N2 - 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.
AB - 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.
KW - Age structure
KW - Diffusion
KW - Linearization
KW - Semigroups
KW - Stability of equilibria
UR - http://www.scopus.com/inward/record.url?scp=85139073242&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2112.15005
DO - 10.48550/arXiv.2112.15005
M3 - Article
AN - SCOPUS:85139073242
VL - 341
SP - 620
EP - 656
JO - Journal of differential equations
JF - Journal of differential equations
SN - 0022-0396
ER -