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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 525461, 12 pages
http://dx.doi.org/10.1155/2013/525461
Influence of Relapse in a Giving Up Smoking Model
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Received 8 November 2012; Revised 7 December 2012; Accepted 20 December 2012
Academic Editor: Sanyi Tang
Copyright © 2013 Hai-Feng Huo and Cheng-Cheng Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Smoking subject is an interesting area to study. The aim of this paper is to derive and analyze a model taking into account light smokers compartment, recovery compartment, and two relapses in the giving up smoking model. Stability of the model is obtained. Some numerical simulations are also provided to illustrate our analytical results and to show the effect of controlling the rate of relapse on the giving up smoking model.