RT Generic
SR 00
ID AM-R9607
A1 Diekmann, O.
A1 Gyllenberg, M.
A1 Metz, J.A.J.
A1 Thieme, H.R.
T1 On the Formulation and Analysis of General Deterministic Structured Population Models
AB 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.
LK https://pure.iiasa.ac.at/id/eprint/4791/
UL https://ir.cwi.nl/pub/4837