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arXiv · 1902.06096

Asymptotic behaviour of a structured population model on a space of measures

József Z. Farkas·Piotr Gwiazda·Anna Marciniak-Czochra
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Abstract

In this paper we consider a physiologically structured population model with distributed states at birth, formulated on the space of non-negative Radon measures. Using a characterisation of the pre-dual space of bounded Lipschitz functions, we show how to apply the theory of strongly continuous positive semigroups to such a model. In particular, we establish the exponential convergence of solutions to a one-dimensional global attractor.

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József Z. Farkas, Piotr Gwiazda, Anna Marciniak-Czochra. 2019-02-16. Asymptotic behaviour of a structured population model on a space of measures. https://arxiv.org/abs/1902.06096

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