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

Ryusuke Kon, Yoh Iwasa

Research output: Contribution to journalArticle

22 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

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orbits
Matrix Models
Orbit
Orbits
Population
Attractivity
Class
Numerical Investigation

All Science Journal Classification (ASJC) codes

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

Cite this

Single-class orbits in nonlinear Leslie matrix models for semelparous populations. / Kon, Ryusuke; Iwasa, Yoh.

In: Journal of Mathematical Biology, Vol. 55, No. 5-6, 01.11.2007, p. 781-802.

Research output: Contribution to journalArticle

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