%0 Generic
%9 IIASA Policy Report
%A Diekmann, O.
%A Gyllenberg, M.
%A Metz, J.A.J.
%A Thieme, H.R.
%C Amsterdam, Netherlands
%D 1996
%F iiasa:4791
%I CWI
%R AM-R9607
%T On the Formulation and Analysis of General Deterministic Structured Population Models
%U https://pure.iiasa.ac.at/id/eprint/4791/
%X We define a linear physiologically structured population model by two rules, one for reproduction and one for "movement" and survival. We use these ingredients to give a constructive definition of next-population-state operators. For the autonomous case we define the basic reproduction ratio R0 and the Malthusian parameter r and we compute the resolvent in terms of the Laplace transform of the ingredients. A key feature of our approach is that unbounded operators are avoided throughout. This will facilitate the treatment of nonlinear models as a next step.