On the Formulation and Analysis of General Deterministic Structured Population Models

Diekmann O, Gyllenberg M, Metz JAJ, & Thieme HR (1996). On the Formulation and Analysis of General Deterministic Structured Population Models. CWI , Amsterdam, Netherlands. DOI:AM-R9607.

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Abstract

We define a linear physiologically structured population model by two rules, one for reproduction and one for "movement" and survival. We use these ingredients to give a constructive definition of next-population-state operators. For the autonomous case we define the basic reproduction ratio R0 and the Malthusian parameter r and we compute the resolvent in terms of the Laplace transform of the ingredients. A key feature of our approach is that unbounded operators are avoided throughout. This will facilitate the treatment of nonlinear models as a next step.

Item Type: Other
Research Programs: Adaptive Dynamics Network (ADN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:07
Last Modified: 13 Jul 2017 13:47
URI: http://pure.iiasa.ac.at/4791

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