Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced.

@article{Anderson2018NonexplosivityOS,
  title={Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced.},
  author={David F. Anderson and Daniele Cappelletti and Masanori Koyama and T. G. Kurtz},
  journal={Bulletin of mathematical biology},
  year={2018},
  volume={80 10},
  pages={
          2561-2579
        }
}
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. 
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