The Principle of Linearized Stability in Age-Structured Diffusive Populations

2021/12/30 by Walker, Christoph, Zehetbauer, Josef · 1 citation
#35B35 #35M10 #47D06 #92D25 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.15005

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 equiblibrium has a negative growth bound. The result is derived in an abstract framework and applied in concrete situations.

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• The principal eigenvalue of an age-structured operator with diffusion and advection: qualitative analysis and an application

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