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Influence of Relapse in a Giving Up Smoking Model

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  • Hai-Feng Huo
  • Cheng-Cheng Zhu

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.

Suggested Citation

  • Hai-Feng Huo & Cheng-Cheng Zhu, 2013. "Influence of Relapse in a Giving Up Smoking Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:525461
    DOI: 10.1155/2013/525461
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    References listed on IDEAS

    as
    1. Hai-Feng Huo & Shuai-Jun Dang & Yu-Ning Li, 2010. "Stability of a Two‐Strain Tuberculosis Model with General Contact Rate," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Hai-Feng Huo & Shuai-Jun Dang & Yu-Ning Li, 2010. "Stability of a Two-Strain Tuberculosis Model with General Contact Rate," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-31, February.
    3. Li, Guihua & Wang, Wendi & Jin, Zhen, 2006. "Global stability of an SEIR epidemic model with constant immigration," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 1012-1019.
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    Cited by:

    1. I. R. Sofia & Shraddha Ramdas Bandekar & Mini Ghosh, 2026. "A mathematical model on smoking dynamics in society with relapse," Quality & Quantity: International Journal of Methodology, Springer, vol. 60(1), pages 2999-3023, February.
    2. Xun-Yang Wang & Hai-Feng Huo & Qing-Kai Kong & Wei-Xuan Shi, 2014. "Optimal Control Strategies in an Alcoholism Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Hai-Feng Huo & Qian Wang, 2014. "Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Rachel Waema Mbogo & Livingstone S. Luboobi & John W. Odhiambo, 2018. "A Stochastic Model for Malaria Transmission Dynamics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2018(1).

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