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Diekmann, O., Gyllenberg, M., & Metz, J.A.J. (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: | 27 Aug 2021 17:20 |
| URI: | https://pure.iiasa.ac.at/8412 |
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