%A O. Diekmann
%A M. Gyllenberg
%A J.A.J. Metz
%A H.R. Thieme
%T On the Formulation and Analysis of General Deterministic Structured Population Models
%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.
%D 1996
%C Amsterdam, Netherlands
%R AM-R9607
%I CWI
%L iiasa4791