Existence of Positive Steady States for Weakly Reversible Mass-Action Systems

DOI10.1137/17M115534XzbMath1411.34062arXiv1710.04732OpenAlexW2963747977MaRDI QIDQ4622879

Balázs Boros

Publication date: 18 February 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04732

zbMATH Keywords

Brouwer's fixed point theorempositive steady stateweak reversibilitymass-action systempositive stoichiometric class

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Symmetries, invariants of ordinary differential equations (34C14) Chemical kinetics in thermodynamics and heat transfer (80A30) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

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• Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems
• Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States
• On the Bijectivity of Families of Exponential/Generalized Polynomial Maps
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