relation: https://pure.iiasa.ac.at/id/eprint/4791/
title: On the Formulation and Analysis of General Deterministic Structured Population Models
creator: Diekmann, O.
creator: Gyllenberg, M.
creator: Metz, J.A.J.
creator: Thieme, H.R.
description: 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.
publisher: CWI
date: 1996-06-30
type: Other
type: NonPeerReviewed
format: text
language: en
rights: cc_by
identifier: https://pure.iiasa.ac.at/id/eprint/4791/1/04837D.pdf
identifier:   Diekmann, O., Gyllenberg, M., Metz, J.A.J. <https://pure.iiasa.ac.at/view/iiasa/206.html>, & Thieme, H.R.  (1996).  On the Formulation and Analysis of General Deterministic Structured Population Models.    CWI , Amsterdam, Netherlands. AM-R9607.     
relation: https://ir.cwi.nl/pub/4837
relation: AM-R9607
identifier: AM-R9607