Global Dynamics of a Mathematical Model on Smoking

By Zainab Y. Alkhudhari, Sarah Al-sheikh, Salma M. Al-Tuwairqi. 2014

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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.

Subfields: Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/a2f0f42bb1749c736cb2628fb84d21ca9dc29407