On the existence, uniqueness and global asymptotic stability of the periodic solution of the modified Michaelis Menten mechanism

DOI10.1016/S0022-0396(79)80008-XzbMath0367.34029MaRDI QIDQ1242255

Lo-Sheng Dai

Publication date: 1979

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

zbMATH Keywords

ASYMPTOTIC STABILITY OF THE PERIODMICHAELIS MENTEN MECHANISM

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

Dynamics of the modified Michaelis--Menten system ⋮ Qualitative analysis of a generalized system of saturated enzyme reactions ⋮ Some modified Michaelis–Menten equations having stable closed trajectories ⋮ Liouvillian Integrability of a Modified Michaelis-Menten Equation ⋮ Periodic orbits of autonomous ordinary differential equations: theory and applications ⋮ Multiple steady states and solution of irreversible phase transitions with enzyme controlled membranes ⋮ Qualitative theory of a third-order nonlinear system with examples in population dynamics and chemical kinetics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical analysis and control of some biochemical systems
• On the uniqueness and global asymptotic stability of periodic solutions for a third order system
• Periodic Plane Waves for the Oregonator
• Convective Diffusion of an Enzyme Reaction

This page was built for publication: On the existence, uniqueness and global asymptotic stability of the periodic solution of the modified Michaelis Menten mechanism