STOCHASTICALLY-INDUCED BISTABILITY IN CHEMICAL REACTION SYSTEMS

成果类型:
Article
署名作者:
McSweeney, John K.; Popovic, Lea
署名单位:
Rose Hulman Institute Technology; Concordia University - Canada
刊物名称:
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN:
1050-5164
DOI:
10.1214/13-AAP946
发表日期:
2014
页码:
1226-1268
关键词:
摘要:
We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling, branching or splitting which makes unbiased perturbative changes to species amounts. Our results show that in a system with a large but bounded capacity, certain combinations of these two types of interactions can lead to stochastically-induced bistability. Depending on the relative magnitudes of the rates of these two sets of interactions, bistability can occur in two distinct ways with different dynamical signatures.
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