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→∞.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 16 March 1995; received in revised form 7 January 1997
Rights and permissions
About this article
Cite this article
Huyer, W. On periodic cohort solutions of a size-structured population model. J Math Biol 35, 908–934 (1997). https://doi.org/10.1007/s002850050082
Issue Date:
DOI: https://doi.org/10.1007/s002850050082