We derive and analyze a mathematical model of smoking in which the population is divided into four classes: potential smokers, smokers, temporary
quitters, and permanent quitters. In this model we study the effect of smokers on
temporary quitters. Two equilibria of the model are found: one of them is the
smoking-free equilibrium and the other corresponds to the presence of smoking. We
examine the local and global stability of both equilibria and we support our results
by using numerical simulations.
In this paper we present and analyze a generalization of the giving up smoking model that was introduced by Sharomi and Gumel [4], in which quitting smoking can be temporary or permanent. In our model, we study a population with peer pressure effect on temporary quitters and we consider also the possibility of temporary quitters becoming permanent quitters and the impact of this transformation on the existence and stability of equilibrium points. Numerical results are given to support the results.
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