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Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics

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  • Hai-Feng Huo
  • Qian Wang

Abstract

We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. Due to the fact that awareness programs are capable of inducing behavioral changes in nondrinkers, we introduce a separate class by avoiding contacts with the heavy drinkers. Furthermore we assume that cumulative density of awareness programs increases at a rate proportional to the number of heavy drinkers. We establish some sufficient conditions for the stability of the alcohol free and the alcohol present equilibria and give some numerical simulations to explain our main result. Our results show that awareness programs is an effective measure in reducing alcohol problems.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:938080
    DOI: 10.1155/2014/938080
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    References listed on IDEAS

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    1. Gary Schwitzer & Ganapati Mudur & David Henry & Amanda Wilson & Merrill Goozner & Maria Simbra & Melissa Sweet & Katherine A Baverstock, 2005. "What Are the Roles and Responsibilities of the Media in Disseminating Health Information?," PLOS Medicine, Public Library of Science, vol. 2(7), pages 1-1, July.
    2. Hai-Feng Huo & Cheng-Cheng Zhu, 2013. "Influence of Relapse in a Giving Up Smoking Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, February.
    3. Paul Ormerod & Greg Wiltshire, 2009. "‘Binge’ drinking in the UK: a social network phenomenon," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 8(2), pages 135-152, December.
    4. Lisa Powell & Jenny Williams & Henry Wechsler, 2004. "Study habits and the level of alcohol use among college students," Education Economics, Taylor & Francis Journals, vol. 12(2), pages 135-149.
    5. 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).
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    Cited by:

    1. Saima Rashid & Rehana Ashraf & Ebenezer Bonyah, 2022. "Nonlinear dynamics of the media addiction model using the fractal‐fractional derivative technique," Complexity, John Wiley & Sons, vol. 2022(1).
    2. Bouchaib Khajji & Abderrahim Labzai & Abdelfatah Kouidere & Omar Balatif & Mostafa Rachik, 2020. "A Discrete Mathematical Modeling of the Influence of Alcohol Treatment Centers on the Drinking Dynamics Using Optimal Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).

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