Dynamics of the Selkov oscillator

DOI10.1016/j.mbs.2018.09.012zbMath1409.92098arXiv1803.10579OpenAlexW2963484585WikidataQ91867347 ScholiaQ91867347MaRDI QIDQ669118

Pia Brechmann, Alan D. Rendall

Publication date: 20 March 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10579

zbMATH Keywords

periodic solutionglycolysisPoincaré compactificationSelkov oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42)

Related Items (10)

Investigation of the Selkov fractional dynamical system ⋮ On characterizing of bifurcation and stability analysis for time fractional glycolysis model ⋮ Qualitative study of the Selkov model ⋮ Planar S-systems: permanence ⋮ Unbounded solutions of models for glycolysis ⋮ The limit cycles of the Higgins-Selkov systems ⋮ Unnamed Item ⋮ Phase portraits of the Higgins-Selkov system ⋮ Transient behavior towards the stable limit cycle in the Sel'kov model of glycolysis: a physiological disorder ⋮ Phase portraits of the Selkov model in the Poincaré disc

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