On the formulation and analysis of general deterministic structured population models. I. Linear theory

Diekmann, O., Gyllenberg, M., Metz, J.A.J., & Thieme, H.R. (1998). On the formulation and analysis of general deterministic structured population models. I. Linear theory. Journal of Mathematical Biology 36 (4) 349-388. 10.1007/s002850050104.

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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 Ro 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:	Article
Uncontrolled Keywords:	Population dynamics; Physiological structure; Age structure; Linear; Deterministic
Research Programs:	Adaptive Dynamics Network (ADN)
Bibliographic Reference:	Journal of Mathematical Biology; 36(4):349-388 (March 1998)
Depositing User:	IIASA Import
Date Deposited:	15 Jan 2016 02:09
Last Modified:	27 Aug 2021 17:16
URI:	https://pure.iiasa.ac.at/5347

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