Single-class orbits in nonlinear Leslie matrix models for semelparous populations

Ryusuke Kon, Yoh Iwasa

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The dynamics of a general nonlinear Leslie matrix model for a semelparous population is investigated. We are especially concerned with the attractivity of the single-class state, in which all but one cohort (or year-class) are missing. Our result shows that the single-class state is attractive if inter-class competition is severe. Conversely, if intra-class competition is severe, the single-class state is repelling. Numerical investigations show that all classes do not necessarily coexist even if the single-class state is repelling.

Original languageEnglish
Pages (from-to)781-802
Number of pages22
JournalJournal of Mathematical Biology
Volume55
Issue number5-6
DOIs
Publication statusPublished - Nov 1 2007

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

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