arXiv
Open Access
2023
Stability and Instability of Equilibria in Age-Structured Diffusive Populations
Christoph Walker
Abstrak
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.
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Christoph Walker
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
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- en
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- arXiv
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- Open Access ✓