eprintid: 4791
rev_number: 13
eprint_status: archive
userid: 351
dir: disk0/00/00/47/91
datestamp: 2016-01-15 02:07:16
lastmod: 2021-08-27 17:36:22
status_changed: 2016-01-15 02:07:16
type: other
metadata_visibility: show
item_issues_count: 1
creators_name: Diekmann, O.
creators_name: Gyllenberg, M.
creators_name: Metz, J.A.J.
creators_name: Thieme, H.R.
creators_id: 7506
title: On the Formulation and Analysis of General Deterministic Structured Population Models
ispublished: pub
internal_subjects: iis_ecl
internal_subjects: iis_met
internal_subjects: iis_mod
divisions: prog_adn
abstract: 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.
date: 1996-06-30
date_type: published
publisher: CWI
id_number: AM-R9607
official_url: https://ir.cwi.nl/pub/4837
iiasapubid: XQ-96-812
policy_related: TRUE
creators_browse_id: 206
full_text_status: public
monograph_type: policy_report
place_of_pub: Amsterdam, Netherlands
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/other
citation:   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.     
document_url: https://pure.iiasa.ac.at/id/eprint/4791/1/04837D.pdf