Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity

• 國谷, 紀良

• Touaoula, Tarik Mohammed

抄録

The present work is devoted to the global stability analysis for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. First, we characterize some subsets of attraction basins of equilibria. Next, by Lyapunov functional and fluctuation method, we obtain a series of criteria for the global stability of equilibria. Finally, we illustrate our results by applying them to a problem with Allee effect.

収録刊行物

• Mathematical Biosciences and Engineering

  Mathematical Biosciences and Engineering 17 (6), 7332-7352, 2020-10-27

  AIMS Press

キーワード

• distributed delay
• bistable nonlinearity
• global stability
• Lyapunov functional
• Allee effect

詳細情報

• CRID: 1050575520345449984
• NII論文ID: 120006975757
• ISSN: 15510018
• HANDLE: 20.500.14094/90007929
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles