Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays

Research output: Contribution to journalArticle

130 Scopus citations

Abstract

The dynamics of delayed systems depend not only on the parameters describing the models but also on the time delays from the feedback. A delay system is absolutely stable if it is asymptotically stable for all values of the delays and conditionally stable if it is asymptotically stable for the delays in some intervals. In the latter case, the system could become unstable when the delays take some critical values and bifurcations may occur. We consider three classes of Kolmogorov-type predator-prey systems with discrete delays and study absolute stability, conditional stability and bifurcation of these systems from a global point of view on both the parameters and delays.

Original languageEnglish (US)
Pages (from-to)159-173
Number of pages15
JournalQuarterly of Applied Mathematics
Volume59
Issue number1
DOIs
StatePublished - Mar 2001
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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