In this study, a stochastic tobacco smoking model incorporating with snuff users and irregular smokers in view of additive noise induced structure is the main focus of this work, analysis and discussions. By considering the effect of noise on the smoking model and analysing stability with the corresponding driving factors, its dynamics are investigated in terms of stochasticity. Particularly, mathematical tools like Fourier transform and perturbation technique are used to determine the stochastic dynamics. Numerical simulations are carried out on some crucial parameters which plays a major role on population densities framed as X(t), H1(t), H2(t), Y(t) and Z(t) is one of the good interesting graphical solutions along with the stochastic study. Computer simulations are used to explain the outcomes of the analysis. After graphical simulations some discussions presented on the graphical results is one more interesting segment in this work. Finally conclusions drawn on impact of noise intensities and varied parametric values on our proposed stochastic structured system.