A Monte Carlo simulation for the heterogeneously catalyzed oxidation o
f CO on diffusion limited aggregation clusters is introduced. Kinetic
phase transition points which appear in this reaction system are studi
ed as a function of the system parameters. Both the 0 poisoning transi
tion at y1 and the CO poisoning transition at y2 are found al very low
values and they are second-order transitions. This holds even in the
presence of CO diffusion. The results will be compared with simulation
s which were performed on regular and other fractal surfaces. The stro
ng influence of the lattice structure is discussed in detail.