Abstract
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.
Citation
John K. McSweeney. Lea Popovic. "Stochastically-induced bistability in chemical reaction systems." Ann. Appl. Probab. 24 (3) 1226 - 1268, June 2014. https://doi.org/10.1214/13-AAP946
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