Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system

F. A. Davidson (Lead / Corresponding author), R. Xu, J. Liu

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    An enzyme-catalysed reaction system arising from glycolysis is investigated. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the existence, non-existence and uniqueness of limit cycles of the systems. Numerical continuation methods reveal the occurrence of large period solutions resulting from an almost homoclinic connection on a saddle point.

    Original languageEnglish
    Pages (from-to)165-179
    Number of pages15
    JournalApplied Mathematics and Computation
    Volume127
    Issue number2-3
    DOIs
    Publication statusPublished - 15 Apr 2002

    Keywords

    • Enzyme-catalysed
    • Global stability
    • Limit cycle

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