  We analyzed the stochastic behavior of systems controlled by autocatalytic
reaction A+X -> X+X. Assuming the distribution of reacting particles in the
system volume to be uniform, we introduced the notion of the point model of
reaction kinetics, and derived a system of differential equations for
probabilities of finding n=0,1,... autocatalytic particles at a given time
moment. It has been found that the kinetic law of the mass action cannot be
supported by stochastic model.
