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ISRN Applied Mathematics
Article . 2014 . Peer-reviewed
License: CC BY
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ISRN Applied Mathematics
Article
License: CC BY
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zbMATH Open
Article . 2014
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Global Dynamics of a Mathematical Model on Smoking

Global dynamics of a mathematical model on smoking
Authors: Zainab Alkhudhari; Sarah Al-Sheikh; Salma Al-Tuwairqi;

Global Dynamics of a Mathematical Model on Smoking

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.

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Keywords

Medical epidemiology, Population dynamics (general), Stability theory of functional-differential equations, Epidemiology, Computational methods for problems pertaining to biology, Dynamical systems in biology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
32
Top 10%
Top 10%
Top 10%
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