<b>D-分岐に基づく確率捕食者・被食者系の分岐解析</b>

• 石川 昌明

  山口大学大学院 理工学研究科

書誌事項

タイトル別名

• <b>On the Bifurcation Analysis of the Stochastic Predator-prey System based on the D-bifurcation</b>
• On the Bifurcation Analysis of the Stochastic Predator-prey System based on the D-bifurcation

抄録

This research is concerned with a bifurcation analysis of a stochastic predator-prey system. The P-bifurcation (Phenomenological bifurcation) and the D-bifurcation (Dynamical bifurcation) are major analytical methods for the stochastic bifurcation. The P-bifurcation studies a stationary measure corresponding to the one-point motion, while the D-bifurcation approach is based on the stability of invariant measures. Since the P-bifurcation is based on the one point-motion, there is a possibility to miss certain branches in bifurcation. So, we study the bifurcation of the stochastic predator-prey system with help of the D-bifurcation, and analyze the influence of the random noise on the bifurcation phenomena in the proposed stochastic model.

収録刊行物

• システム制御情報学会論文誌

  システム制御情報学会論文誌 27 (1), 8-13, 2014

  一般社団法人 システム制御情報学会

キーワード

• stochastic bifurcation
• random dynamical system
• invariant measure
• D-bifurcation
• MET theory

詳細情報

• CRID: 1390282680141396224
• NII論文ID: 130003396799
• DOI: 10.5687/iscie.27.8
• ISSN: 2185811X
• ISSN: 13425668
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可