Global Dynamics of a Mathematical Model on Smoking

Author:

Alkhudhari Zainab1,Al-Sheikh Sarah1ORCID,Al-Tuwairqi Salma1ORCID

Affiliation:

1. Department of Mathematics, King Abdulaziz University, Jeddah 21551, Saudi Arabia

Abstract

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.

Publisher

Hindawi Limited

Subject

General Medicine

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