Persistence and stability in an N-species ratio-dependent predator-prey system with distributed time delays

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Abstract

An N-species ratio-dependent predator-prey food-chain model with distributed time delays is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the system.
Original languageEnglish
Pages (from-to)59-80
Number of pages22
JournalApplied Mathematics and Computation
Volume131
Issue number1
DOIs
Publication statusPublished - 2002

Keywords

  • Distributed time delay
  • Global attractivity
  • Uniform persistence

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