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

Ryusuke Kon, Yoh Iwasa

研究成果: Contribution to journalArticle査読

24 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)781-802
ページ数22
ジャーナルJournal of Mathematical Biology
55
5-6
DOI
出版ステータス出版済み - 11 1 2007

All Science Journal Classification (ASJC) codes

  • 農業および生物科学(その他)
  • 数学(その他)

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