  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.
