A Semigroup Formulation of a Nonlinear Size-Structured Distributed Rate Population Model
A variation of the Sinko-Streifer model in population dynamics where besides the observable characteristics size in addition a non-observable characteristics responsible for variations in growth rates for individuals of the same size is investigated. It is shown that the model can be formulated as an abstract Cauchy problem in an appropriate Banach space. We proof wellposedness of the abstract linear problem and also for a nonlinear perturbation of the model.
1991 Mathematics Subject Classification92D25 47D03 47H20
Key words and phrasesStructured populations Sinko-Streifer model C0-semigroups Lumer-Phillips theorem semilinear abstract Cauchy problems
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- 1.H. T. BANKS, L. W. BOTSFORD, F. KAPPEL, C. WANG, Modeling and estimation in size structured population models Math. Ecology, T. G. Hallam, L. J. Gross, S. A. Levin (Eds.), Singapore: World Scientific, 1988, pp. 521–541.Google Scholar
- 6.W. HUYER, A size structured population model with dispersion ,Institute für Mathematik Technische Universität Graz-Universität Graz Preprint No. 212–1992, May 1992; J. Math. Analysis Appl., to appear.Google Scholar