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

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

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 th...

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Veröffentlicht in:Applied mathematics and computation 2002-04, Vol.127 (2), p.165-179
Hauptverfasser: Davidson, F.A., Xu, R., Liu, J.
Format: Artikel
Sprache:eng
Schlagworte:
Catalysis
Enzyme-catalysed
Enzymes
Exact sciences and technology
Global stability
Limit cycle
Mathematical models
Mathematics
Ordinary differential equations
Sciences and techniques of general use
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Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(01)00065-0