Abstract and Applied Analysis
Volume 2013 (2013), Article ID 525461, 12 pages
Research Article

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.


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.