Physiologically structured population models: Towards a general mathematical theory

Diekmann, O., Gyllenberg, M., & Metz, J.A.J. (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. 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:	27 Aug 2021 17:19
URI:	https://pure.iiasa.ac.at/8237

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