A stratum approach to global stability of complex balanced systems

DOI10.1080/14689367.2010.545812zbMath1218.80016arXiv1008.1622OpenAlexW2963012918MaRDI QIDQ3015029

Matthew D. Johnston, David Siegel

Publication date: 8 July 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1622

zbMATH Keywords

persistencechemical kineticsstability theorycomplex balancinglocking sets

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Chemical kinetics in thermodynamics and heat transfer (80A30) Stability theory for smooth dynamical systems (37C75)

Related Items (4)

A new decomposition of the graph Laplacian and the binomial structure of mass-action systems ⋮ Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems ⋮ Boundedness of trajectories for weakly reversible, single linkage class reaction systems ⋮ Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability

Cites Work

• Toric dynamical systems
• The existence and uniqueness of steady states for a class of chemical reaction networks
• A Petri net approach to the study of persistence in chemical reaction networks
• The Dynamics of Weakly Reversible Population Processes near Facets
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Global stability of complex balanced mechanisms

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