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

TL;DR

This paper proves that every weakly reversible mass-action system has at least one positive steady state in each positive stoichiometric class, confirming a key aspect of chemical reaction network theory.

Contribution

It establishes the existence of positive steady states for all weakly reversible mass-action systems, advancing understanding in chemical reaction network dynamics.

Findings

Existence of positive steady states in weakly reversible systems

Positive steady states exist in each positive stoichiometric class

Supports conjectures in chemical reaction network theory

Abstract

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