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.

Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced / Anderson, D. F.; Cappelletti, D.; Koyama, M.; Kurtz, T. G.. - In: BULLETIN OF MATHEMATICAL BIOLOGY. - ISSN 0092-8240. - STAMPA. - 80:10(2018), pp. 2561-2579. [10.1007/s11538-018-0473-8]

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

Cappelletti D.;
2018

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2857133