THE EFFECT OF HEAVY SMOKERS ON THE DYNAMICS OF A SMOKING MODEL

Abstract

In this paper we present a non-linear mathematical model whichanalyzes the spread of smoking in a population. The population is dividedinto five classes: potential smokers, occasional smokers, heavy smokers,temporary quitters and permanent quitters. We study the effect ofconsidering the class of occasional smokers and the impact of adding thisclass to the smoking model in [1] on the stability of its equilibria.This model is similar to the model in [2], where we studied theeffect of occasional smokers on potential smokers, but here we're going toconsider the effect of heavy smokers on potential smokers and it's impact onthe stability of the model. Numerical results are also given to support ourresults and to compair the two models.