This paper presents a simple empirical mathematical model which predicts the increase in mortality
caused by cigarette smoking. The model considers the introduction of new brands of cigarette in the
market and (or) the introduction of new smokers in a given population. The model is used to predict the
smoke attributed mortality (SAM) for a period of 20 years, say, using empirical data of Nigeria
population. A means through which the government and the policy makers would use to control the
SAM is suggested.