Periodic solutions and dynamics of a multimolecular reaction system

DOI10.1016/S0895-7177(02)00115-2zbMath1021.92010OpenAlexW1992815643MaRDI QIDQ1410087

Keng Huat Kwek, Wei Nian Zhang

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00115-2

zbMATH Keywords

periodic solutionHopf bifurcationdegenerate equilibriumbiochemical kineticsBendixson's criteria

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Long-time behavior of stochastic multimolecular reaction model ⋮ Qualitative analysis of a generalized system of saturated enzyme reactions ⋮ Local bifurcations of an enzyme-catalyzed reaction system with cubic rate law ⋮ Bogdanov-Takens bifurcation of a polynomial differential system in biochemical reaction ⋮ Degenerate equilibria at infinity in the generalized Brusselator

Cites Work

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• Existence of closed orbits for a differential equation model concerning multi-molecule reactions
• Thermodynamic network analysis of biological systems. 2nd corr. and updated ed
• Nonuniqueness of stable limit cycles in a class of enzyme catalyzed reactions
• The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback
• A Cubic System with Eight Small-Amplitude Limit Cycles

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