title: Notes on the Deficiency-One Theorem: multiple linkage classes.
abstract: The Deficiency-One Theorem tells us about certain chemical reaction systems that they cannot admit multiple interior equilibria. The theorem was proven by Feinberg. In this paper we provide a relatively short proof of that theorem. We also extend that result by giving an equivalent condition to the fact that the set of interior equilibria is nonempty for a chemical reaction system considered in the Deficiency-One Theorem.
authors: Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary. bboros@cs.elte.hu
authors: Balázs
authors: B
authors: Boros
mesh_terms: D000465:Algorithms; D008956:Models, Chemical