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Diekmann, O., Gyllenberg, M., Metz, J.A.J., & Thieme, H.R. (1996). On the Formulation and Analysis of General Deterministic Structured Population Models. CWI , Amsterdam, Netherlands. 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: | 27 Aug 2021 17:36 |
| URI: | https://pure.iiasa.ac.at/4791 |
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