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math.DSOct 1, 2017
41
citations (OpenAlex)
authors
  • Balázs Boros
arXiv abstractPDF
paper

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

arXiv:1710.04732 · doi:10.1137/17M115534X

Abstract

We prove the following. For each weakly reversible mass-action system, there exists a positive steady state in each positive stoichiometric class.

15 pages

Cited by in corpus (10)

  • Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class
  • Weakly reversible mass-action systems with infinitely many positive steady states
  • Some minimal bimolecular mass-action systems with limit cycles
  • The disguised toric locus and affine equivalence of reaction networks
  • The structure of the moduli space of toric dynamical systems of a reaction network
  • Reaction extent or advancement of the reaction: A new general definition
  • Attainable Regions of Dynamical Systems
  • Single-Target Networks
  • Some dynamical properties of delayed weakly reversible mass-action systems
  • Realizations of kinetic differential equations
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