Global dynamics of the smallest chemical reaction system with Hopf bifurcation

DOI10.1007/s10910-011-9946-9zbMath1306.92082arXiv1109.5204OpenAlexW1980509781MaRDI QIDQ427449

Hal Leslie Smith

Publication date: 13 June 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5204

zbMATH Keywords

periodic orbituniform persistencecompetitive systemcompact attractorBendixson criterionmonotone cyclic feedback system

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23)

Related Items (6)

Complex bursting patterns and fast-slow analysis in a smallest chemical reaction system with two slow parametric excitations ⋮ Adding species to chemical reaction networks: preserving rank preserves nondegenerate behaviours ⋮ Splitting Reactions Preserves Nondegenerate Behaviors in Chemical Reaction Networks ⋮ Some minimal bimolecular mass-action systems with limit cycles ⋮ Integrability Analysis of the Smallest 3D Biochemical Reaction Model ⋮ Which Small Reaction Networks Are Multistationary?

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• Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• A Geometric Approach to Global-Stability Problems

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