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arXiv · 1201.2589

Some Remarks About the Semigroup Associated to Age-Structured Diffusive Populations

Christoph Walker
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Abstract

We consider linear age-structured population equations with diffusion. Supposing maximal regularity of the diffusion operator, we characterize the generator and its spectral properties of the associated strongly continuous semigroup. In particular, we provide conditions for stability of the zero solution and for asynchronous exponential growth.

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Christoph Walker. 2012-01-12. Some Remarks About the Semigroup Associated to Age-Structured Diffusive Populations. https://arxiv.org/abs/1201.2589

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