On the long-time behaviour of age and trait structured population dynamics

Tristan Roget

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arXiv · 1711.07688

On the long-time behaviour of age and trait structured population dynamics

Tristan Roget

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Abstract

We study the long-time behaviour of a population structured by age and a phenotypic trait under a selection-mutation dynamics. By analysing spectral properties of a family of positive operators on measure spaces, we show the existence of eventually singular stationary solutions. When the stationary measures are absolutely continuous with a continuous density, we show the convergence of the dynamics to the unique equilibrium.

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Tristan Roget. 2017-11-21. On the long-time behaviour of age and trait structured population dynamics. https://arxiv.org/abs/1711.07688

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