On the Formulation and Analysis of General Deterministic Structured Population Models. I. Linear Theory

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4853 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4853 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4853 archive 351 disk0/00/00/67/38 2016-01-15 02:14:46 2021-08-27 17:17:56 2016-01-15 02:14:46 monograph show 3 Diekmann O. Gyllenberg M. Metz J.A.J. 7506 Thieme H.R. On the Formulation and Analysis of General Deterministic Structured Population Models. I. Linear Theory pub iis_ecl iis_mod iis_met prog_adn Population dynamics; Physiological structure; Age structure; Linear; Deterministic 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 Ro 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. 2002-06 published IR-02-047 IR-02-047 206 public interim_report IIASA, Laxenburg, Austria 37 FALSE info:eu-repo/semantics/book