| Literature DB >> 30117084 |
David F Anderson1, Daniele Cappelletti2, Masanori Koyama3, Thomas G Kurtz1.
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.Keywords: Continuous-time Markov chain; Explosivity; Reaction network; Stationary distribution; Stochastic reaction networks
Mesh:
Year: 2018 PMID: 30117084 DOI: 10.1007/s11538-018-0473-8
Source DB: PubMed Journal: Bull Math Biol ISSN: 0092-8240 Impact factor: 1.758