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A mathematical model approach for tobacco control in China

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  • Pang, Liuyong
  • Zhao, Zhong
  • Liu, Sanhong
  • Zhang, Xinan

Abstract

As a tobacco victimized country in the world, China is being burdened by smoking-related illnesses. This paper concentrates on the problem of controlling smoking in China. We propose a mathematical model described by ordinary differential equations with a saturated incidence rate to explore the effect of controlling smoking by setting up designed smoking areas and raising the price of cigarettes. The sufficient criteria for the local and global stabilities of the equilibria are obtained. Furthermore, a sensitivity analysis is performed to gain insight into which factors are the most important in controlling smoking. Lastly, we carry out numerical simulations to illustrate and verify the analytic conclusions, and provide a control measure.

Suggested Citation

  • Pang, Liuyong & Zhao, Zhong & Liu, Sanhong & Zhang, Xinan, 2015. "A mathematical model approach for tobacco control in China," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 497-509.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:497-509
    DOI: 10.1016/j.amc.2015.02.078
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    References listed on IDEAS

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    1. Yen, Steven T. & Shaw, W. Douglass & Yuan, Yan, 2010. "Cigarette smoking and self-reported health in China," China Economic Review, Elsevier, vol. 21(4), pages 532-543, December.
    2. Lahrouz, A. & Omari, L. & Kiouach, D. & Belmaâti, A., 2011. "Deterministic and stochastic stability of a mathematical model of smoking," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1276-1284, August.
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    Cited by:

    1. Pang, Liuyong & Zhao, Zhong & Song, Xinyu, 2016. "Cost-effectiveness analysis of optimal strategy for tumor treatment," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 293-301.
    2. Sharma, Anupama, 2020. "Quantifying the effect of demographic stochasticity on the smoking epidemic in the presence of economic stimulus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    3. ur Rahman, Ghaus & Agarwal, Ravi P. & Din, Qamar, 2019. "Mathematical analysis of giving up smoking model via harmonic mean type incidence rate," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 128-148.

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