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

2019/02/16 by József Z. Farkas, Piotr Gwiazda, Farkas, József Z. +3
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1902.06096

openalex publication_date 2019/02/16 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

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

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