In this article, we develop a smoking model while considering some important features related to smoking habit like relapse and harmonic mean type incidence rate. The model is developed by using the existing literature and some key and updated research in the field. Besides proving of basic properties related to the model, we prove that the model has a smoking-free equilibrium which is locally and globally asymptotically stable whenever $R_0<1$. It is also proved that the model has a smoking-present equilibrium which is both locally and globally asymptotically stable under certain conditions besides $R_0>1$. To control the smoking behavior in the population, a control problem is formulated considering three control measures, namely; education campaign, anti-nicotine gum and anti-nicotine drugs. The study suggest that proper use of such controls can effectively decrease smoking use from the population.

在本文中，我们开发了一个吸烟模型，同时考虑了与吸烟习惯相关的一些重要特征，如复发率和调和平均型发病率。该模型是利用现有文献和该领域的一些关键和更新研究开发的。除了证明与模型相关的基本属性外，我们还证明了该模型具有局部和全局渐近稳定的无烟均衡${\mathrm{电阻}}_0<1$. 还证明了该模型具有在特定条件下局部和全局渐近稳定的吸烟存在均衡${\mathrm{电阻}}_0>1$. 为了控制人群的吸烟行为，考虑三个控制措施，制定了一个控制问题，即：教育运动、抗尼古丁口香糖和抗尼古丁药物。该研究表明，适当使用此类控制措施可以有效减少人群吸烟。