Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability

DOI10.3934/mbe.2020024zbMath1478.92264arXiv1906.12214OpenAlexW2979717683WikidataQ91298291 ScholiaQ91298291MaRDI QIDQ2045699

Balázs Boros, Georg Regensburger, Stefan Müller

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.12214

zbMATH Keywords

JacobianLyapunov functionasymptotic stabilityequilibriumdiagonal stabilitymass action systemweakly reversiblecomplex balanced equilibriumgeneralized chemical reaction system

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability of solutions to ordinary differential equations (34D20) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability theory for smooth dynamical systems (37C75)

Related Items (8)

Complex Balanced Equilibria of Weakly Reversible Poly-Pl Systems: Existence, Stability, and Robustness ⋮ Common complexes of decompositions and complex balanced equilibria of chemical reaction networks ⋮ Independent, Incidence Independent and Weakly Reversible Decompositions of Chemical Reaction Networks ⋮ A new decomposition of the graph Laplacian and the binomial structure of mass-action systems ⋮ An Algorithm for Finding Weakly Reversible Deficiency Zero Realizations of Polynomial Dynamical Systems ⋮ The Disguised Toric Locus and Affine Equivalence of Reaction Networks ⋮ Sufficient Conditions for Linear Stability of Complex-Balanced Equilibria in Generalized Mass-Action Systems ⋮ Analysis of mass-action systems by split network translation

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