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. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-07-046

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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: Monograph (IIASA Interim Report)
Research Programs: Evolution and Ecology (EEP)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:40
Last Modified: 21 Oct 2016 00:15
URI: http://pure.iiasa.ac.at/8412

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