Qualitative Analysis of the Minimal Higgins Model of Glycolysis

DOI10.46793/match.90-3.563fMaRDI QIDQ6182439

Ilknur Kusbeyzi Aybar, Orhan Ozgur Aybar, Brigita Ferčec, Matej Mencinger, Tatjana Petek

Publication date: 25 January 2024

Published in: Match - Communications in Mathematical and in Computer Chemistry (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functioncenter-focus problemfocus quantitiescritical periodHiggins model

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Physiology (general) (92C30)

Cites Work

• Unnamed Item
• Weak centers and local bifurcations of critical periods at infinity for a class of rational systems
• Computing centre conditions for certain cubic systems
• Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
• Weak centers and bifurcation of critical periods in reversible cubic systems
• The center problem for the Lotka reactions with generalized mass-action kinetics
• Simultaneous bifurcation of limit cycles and critical periods
• Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system
• Bifurcation of critical periods of polynomial systems
• The mathematical structure of chemical kinetics in homogeneous single- phase systems
• The Center and Cyclicity Problems
• Bifurcation of Critical Periods for Plane Vector Fields
• Local Bifurcation of Critical Periods in Vector Fields With Homogeneous Nonlinearities of the Third Degree
• The center problem and the composition condition for a family of quartic differential systems
• Bifurcation of critical periods of a quartic system
• Critical period bifurcations of a cubic system