2020
DOI: 10.48550/arxiv.2012.07954
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Classification and threshold dynamics of stochastic reaction networks

Abstract: Stochastic reaction networks (SRNs) provide models of many realworld networks. Examples include networks in epidemiology, pharmacology, genetics, ecology, chemistry, and social sciences. Here, we model stochastic reaction networks by continuous time Markov chains (CTMCs) and derive new results on the decomposition of the ambient space N d 0 (with d ≥ 1 the number of species) into communicating classes. In particular, we propose to study (minimal) core networks of an SRN, and show that these characterize the de… Show more

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Cited by 2 publications
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“…Hence, having the same cl(R) for two RNs is in general stronger than having the same reachability sets for all initial states (in the latter case, the RNs are said to be structurally identical [45]).…”
Section: Rns and Reachabilitymentioning
confidence: 99%
“…Hence, having the same cl(R) for two RNs is in general stronger than having the same reachability sets for all initial states (in the latter case, the RNs are said to be structurally identical [45]).…”
Section: Rns and Reachabilitymentioning
confidence: 99%
“…Remark 2.5. One-dimensional networks have been analyzed recently in terms of multistationarity and multistability [26] and in the stochastic setting [28,29].…”
mentioning
confidence: 99%