Bifurcations of a polynomial differential system of degree \(n\) in biochemical reactions

DOI10.1016/S0898-1221(02)00108-6zbMath1008.34032OpenAlexW2033285832MaRDI QIDQ1609075

Xiaorong Hou, Rui Yan, Wei Nian Zhang

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00108-6

zbMATH Keywords

saddle-node bifurcationHopf bifurcationpolynomial differential systemconcentration kineticsmultimolecular reaction

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• 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
• Note on a model of a biochemical reaction
• 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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