On the Formulation and Analysis of General Deterministic Structured Population Models

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/78369 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/78369 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/78369 archive 351 disk0/00/00/47/91 2016-01-15 02:07:16 2021-08-27 17:36:22 2016-01-15 02:07:16 other show 1 Diekmann O. Gyllenberg M. Metz J.A.J. 7506 Thieme H.R. On the Formulation and Analysis of General Deterministic Structured Population Models pub iis_ecl iis_met iis_mod prog_adn 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. 1996-06-30 published CWI AM-R9607 https://ir.cwi.nl/pub/4837 XQ-96-812 TRUE 206 public policy_report Amsterdam, Netherlands FALSE info:eu-repo/semantics/other