Abstract:
Globally, the effects of passive smoking are considered to be dangerous to non-smoking as that of 
actual smoking. This paper formulates and analyzes the effect of smoking in the presence of pro 
and anti-smoking adverts using a deterministic compartmental math- ematical model. In modelling 
the dynamics of smoking, the population was divided into five subclasses of potential smokers 
who respond to pro-smoking advert, potential smokers who respond to anti-smoking adverts, and 
light smokers, chain smokers and quitters. The model was analysed for the existence of smoke 
free and endemic equilibrium points and their stability. Numerical simulations were carried out 
to support the analytical results and to determine the parameters influencing the dynamics of the 
smoking. It was shown that the smoke free equilibrium point is asymptotically stable when the 
effective reproduction number is less than unit and unstable when an effective reproduction number 
is greater than unit. The model analysis shows that pro-smoking and anti-smoking adverts have 
substantial effect on increment or eradication of smoking habits. It was noted that anti-smoking 
adverts reduces the smoking habit by eighty percent while the pro-smoking advertisement increases 
the smoking habits. In order to reduce the spread of smoking habits the efficacy rate of the anti
smoking adverts should be sufficiently large while pro-smoking adverts should be minimized.