On periodic cohort solutions of a size-structured population model |
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Authors: | Waltraud Huyer |
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Institution: | Institut für Mathematik, Universit?t Wien, Strudlhofgasse 4, A-1090 Wien, Austria; E-mail address: huyer@cma.univie.ac.at, AT
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Abstract: | We consider a size-structured population model with discontinuous reproduction and feedback through the environmental variable
‘substrate’. The model admits solutions with finitely many cohorts and in that case the problem is described by a system of
ODEs involving a bifurcation parameter β. Existence of nontrivial periodic n-cohort solutions is investigated. Moreover, we discuss the question whether n cohorts (n≧2) with small size differences will tend to a periodic one-cohort solution as t→∞.
Received 16 March 1995; received in revised form 7 January 1997 |
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Keywords: | : Size-structured populations Discontinuous reproduction Variable environment Periodic cohort solutions Stability |
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