Global asymptotic stability of periodic solution for a cooperative system with time delays

Rui Xu, M. A. J. Chaplain, F. A. Davidson

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A periodic cooperative model with time delays is investigated. By using the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system.
Original languageEnglish
Pages (from-to)915-936
Number of pages22
JournalIndian Journal of Pure and Applied Mathematics
Volume35
Issue number7
Publication statusPublished - 2004

Keywords

  • Cooperative system
  • Time delay
  • Periodic solution
  • Continuation theorem of coincidence degree theory
  • Lyapunov functional
  • Global stability

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