https://pure.iiasa.ac.at/id/eprint/4791 2021-08-27T17:36:22Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/4791/ On the Formulation and Analysis of General Deterministic Structured Population Models Diekmann, O. Gyllenberg, M. Metz, J.A.J. Thieme, H.R. 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. CWI 1996-06-30 Other NonPeerReviewed text en cc_by https://pure.iiasa.ac.at/id/eprint/4791/1/04837D.pdf 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. https://ir.cwi.nl/pub/4837 AM-R9607 AM-R9607 info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage