Dynamics of the modified Michaelis--Menten system

DOI10.1016/j.jmaa.2005.11.043zbMath1096.34025OpenAlexW2056013836MaRDI QIDQ819997

Luis Angel Sanchez

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.043

zbMATH Keywords

monotone systemsglobally attracting equilibriaMichaelis-Menten system

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Monotone systems involving ordinary differential equations (34C12)

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Cites Work

• Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems
• On the existence, uniqueness and global asymptotic stability of the periodic solution of the modified Michaelis Menten mechanism
• Stable periodic orbits for a class of three dimensional competitive systems
• Global stability for the SEIR model in epidemiology
• Compound matrices and ordinary differential equations
• Some modified Michaelis–Menten equations having stable closed trajectories
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