Notes on the Deficiency One Theorem: single linkage class
نویسنده
چکیده
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 for the special case of one linkage class. 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 with one linkage class considered in the Deficiency One Theorem.
منابع مشابه
A Linear Programming Approach to Dynamical Equivalence, Linear Conjugacy, and the Deficiency One Theorem
3 Main Results 8 3.1 Mixed-Integer Linear Programming Framework . . . . . . . . . . . . . . . . . . . . . 9 3.2 Initialization of Program . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.3 Implementing Dynamical Equivalence and Linear Conjugacy . . . . . . . . . . . . . 10 3.4 Implementing Deficiency Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.5 ...
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