Periodic solutions and dynamics of a multimolecular reaction system

Mathematical and Computer Modelling

Volumn 36, Issue 1-2, 2002, Pages 189-201

  Kwek, Keng Huat ^a   Zhang, Weinian ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b SICHUAN UNIVERSITY   (China)

Author keywords

Bendixson's criteria; Biochemical kinetics; Degenerate equilibrium; Hopf bifurcation; Periodic solution

Indexed keywords

EID: 0037008793     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)00115-2     Document Type: Article

References (14)

1. Models of chemical reaction systems with exactly evaluable limit cycle oscillations
2. Qualitative analysis for a class of nonlinear equations in biochemical reactions
3. Qualitative analysis for a differential equation model of multi-molecular reactions
4. Existence of closed orbits for a differential equation model concerning multi-molecular reactions
5. A cubic system with eight small-amplitude limit cycles
6. The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback
7. Nonuniqueness of stable limit cycles in a class of enzyme catalyzed reactions
8. Oscillations in biochemical and biological systems
9. Limit cycles of polynomial systems - Some recent developments