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In this paper we proposed a mathematical model for analyzing the dynamics of controlling smoking activity under the influence of educational awareness programmers, as well as the determination of individuals to stop smoking. The model exhibits two equilibrium points which are named as smoking free equilibrium and endemic equilibrium. These equilibrium points of the model are analyzed through stability analysis both analytically and numerically. Further, the model is enhanced by introducing stochasticity and analyzed the effect of stochastic model by comparing it with deterministic model. Numerical simulation of both the deterministic and stochastic model is exhibited to validate our analytical findings. Our result shows the better ways for eradicate smoking habit through the parameter effects of the model.