2 research outputs found
Asymptotic behaviour of a structured population model on a space of measures
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