Non-explosivity of stochastically modeled reaction networks that are complex balanced

TL;DR

This paper proves that complex balanced reaction networks modeled stochastically are non-explosive, given certain decay conditions on the solution to the Kolmogorov forward equation, ensuring model stability.

Contribution

It establishes non-explosivity for complex balanced reaction networks under specific decay conditions, extending understanding of their stochastic stability.

Findings

Complex balanced networks are non-explosive.

Decay conditions ensure non-explosivity.

Provides criteria for stability of stochastic reaction networks.

Abstract

We consider stochastically modeled reaction networks and prove that if a constant solution to the Kolmogorov forward equation decays fast enough relatively to the transition rates, then the model is non-explosive. In particular, complex balanced reaction networks are non-explosive.