Convergence results in a well-known delayed predator-prey system

Edoardo Beretta, Yang Kuang

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Abstract

In this paper, we provide a detailed and explicit procedure of obtaining some regions of attraction for the positive steady state (assumed to exist) of a well known Lotka-Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detailed example is presented. The method used here is to construct a proper Liapunov functional in a restricted region.

Original languageEnglish (US)
Pages (from-to)840-853
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume204
Issue number3
DOIs
StatePublished - Dec 15 1996

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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