Qualitative study of the Selkov model

DOI10.1016/j.jde.2024.02.011OpenAlexW4392032325MaRDI QIDQ6130241

Jaume Llibre, Chara Pantazi

Publication date: 2 April 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2024.02.011

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx) Physiological, cellular and medical topics (92Cxx)

Cites Work

• Unnamed Item
• Integrability of dynamical systems: algebra and analysis
• Dynamics of the Selkov oscillator
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Proof of Artés-Llibre-Valls's conjectures for the Higgins-Selkov and the Selkov systems
• Uniqueness and global attractivity of glycolytic oscillations suggested by Selkov's model
• Dynamics of the Higgins-Selkov and Selkov systems
• Phase portraits of the Higgins-Selkov system
• Unbounded solutions of models for glycolysis
• The limit cycles of the Higgins-Selkov systems
• Qualitative theory of planar differential systems
• On the differentiability of first integrals of two dimensional flows
• Liouvillian First Integrals of Differential Equations
• Classification of Continuous Flows on 2-Manifolds
• Global Structure of Ordinary Differential Equations in the Plane

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