Physiologically Structured Population Models: Towards a General Mathematical Theory

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/13136 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/13136 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/13136 archive 351 disk0/00/00/84/12 2016-01-15 08:40:26 2021-08-27 17:20:08 2016-01-15 08:40:26 monograph show 3 Diekmann O. Gyllenberg M. Metz J.A.J. 7506 Physiologically Structured Population Models: Towards a General Mathematical Theory pub iis_ecl prog_eep We review the state-of-the-art concerning a mathematical framework for general physiologically structured population models. When individual development is affected by the population density, such models lead to quasilinear equations. We show how to associate a dynamical system (defined on an infinite dimensional state space) to the model and how to determine the steady states. Concerning the principle of linearized stability, we offer a conjecture as well as some preliminary steps towards a proof. 2007 published IR-07-046 IR-07-046 206 public interim_report IIASA, Laxenburg, Austria 22 FALSE info:eu-repo/semantics/book