Liouvillian Integrability of a Modified Michaelis-Menten Equation

DOI10.1080/14029251.2013.792459zbMath1420.34057OpenAlexW1970899018MaRDI QIDQ5230876

Claudia Valls

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.792459

zbMATH Keywords

invariant algebraic surfacesMichaelis-Menten equationDarboux first integralsexponential factorsliouvillian integrability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Cites Work

• Unnamed Item
• Multiplicity of invariant algebraic curves in polynomial vector fields
• On the existence, uniqueness and global asymptotic stability of the periodic solution of the modified Michaelis Menten mechanism
• Liouvillian integration of the Lotka-Volterra system
• Liouvillian first integrals for the planar Lotka-Volterra system
• Liouvillian First Integrals of Differential Equations
• Liouvillian first integrals for Liénard polynomial differential systems

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