Physiologically structured population models: Towards a general mathematical theory

Diekmann O, Gyllenberg M, & Metz JAJ (2007). Physiologically structured population models: Towards a general mathematical theory. In: Mathematics for Ecology and Environmental Sciences. Eds. Takeuchi, Y., Iwasa, Y. & Sato, K., Berlin Heidelberg: Springer-Verlag. DOI:10.1007/978-3-540-34428-5_2.

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Abstract

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.

Item Type: Book Section
Research Programs: Evolution and Ecology (EEP)
Bibliographic Reference: In: Y. Takeuchi, Y. Iwasa, K. Sato (eds); Mathematics for Ecology and Environmental Sciences; Springer-Verlag, Berlin Heidelberg, Germany pp.5-20 (2007)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:39
Last Modified: 10 Feb 2016 16:11
URI: http://pure.iiasa.ac.at/8237

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