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

DOI10.1016/S0096-3003(01)00065-0zbMath1048.34085OpenAlexW2079568260MaRDI QIDQ1855182

Rui Xu, Junli Liu, Fordyce A. Davidson

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00065-0

zbMATH Keywords

limit cyclesenzyme-catalysed chemical reaction

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

A qualitative mathematical analysis of a class of nonlinear differential equations: applications in biochemistry ⋮ Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network ⋮ Local bifurcations of an enzyme-catalyzed reaction system with cubic rate law ⋮ Bifurcations and asymptotic behavior of positive steady-states of an enzyme-catalyzed reaction–diffusion system ⋮ Bifurcation analysis of an enzyme-catalyzed reaction-diffusion system ⋮ Global dynamics of an enzyme-catalyzed reaction system ⋮ Bifurcation Analysis of an Enzyme Reaction System with General Power of Autocatalysis ⋮ Sufficient Conditions for Coordination of Coupled Nonlinear Biochemical Systems: Analysis of a Simple, Representative Example ⋮ Local Bifurcations of the Enzyme-Catalyzed Reaction Comprising a Branched Network

Cites Work

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• Global stability of the attracting set of an enzyme-catalysed reaction system
• Coordination restriction of enzyme–catalysed reaction systems as nonlinear dynamical systems

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