We investigate the influence of intrinsic noise on stable states of a
one-dimensional dynamical system that shows in its deterministic version a
saddle-node bifurcation between monostable and bistable behaviour. The system
is a modified version of the Schl\"ogl model, which is a chemical reaction
system with only one type of molecule. The strength of the intrinsic noise is
varied without changing the deterministic description by introducing bursts in
the autocatalytic production step. We study the transitions between monostable
and bistable behavior in this system by evaluating the number of maxima of the
stationary probability distribution. We find that changing the size of bursts
can destroy and even induce saddle-node bifurcations. This means that a bursty
production of molecules can qualitatively change the dynamics of a chemical
reaction system even when the deterministic description remains unchanged.Comment: 7 pages, 9 figure
