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The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects

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  • Steady Mushayabasa

Abstract

We propose and analyze a mathematical model for alcohol drinking problem. The transmission process is modeled as a social “contact” process between “heavy” alcohol drinkers and “light” alcohol drinkers within an unchanging shared drinking environment. The basic reproductive number of the model is computed and the stability of the model steady states is investigated. Further, the model is fitted to data on alcohol drinking for Cape Town and Gauteng, South Africa. In addition, the basic model is extended to incorporate three time dependent intervention strategies. The control functions represent the efforts and policies aimed at weakening the intensity of social interactions between light and heavy drinkers and increase the fraction of treated individuals who permanently quit alcohol drinking. Optimal control results suggest that effective control of high‐risk alcohol drinking can be achieved if more resources and efforts are devoted on weakening the intensity of social interactions between light and heavy drinkers.

Suggested Citation

  • Steady Mushayabasa, 2015. "The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnljam:v:2015:y:2015:i:1:n:238784
    DOI: 10.1155/2015/238784
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    References listed on IDEAS

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    1. Lee, S. & Jung, E. & Castillo-Chavez, C., 2010. "Optimal control intervention strategies in low- and high-risk problem drinking populations," Socio-Economic Planning Sciences, Elsevier, vol. 44(4), pages 258-265, December.
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    Cited by:

    1. Maranya M. Mayengo & Moatlhodi Kgosimore & Snehashish Chakraverty, 2020. "Fuzzy Modeling for the Dynamics of Alcohol‐Related Health Risks with Changing Behaviors via Cultural Beliefs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    2. Bouka, Martina & Strickland, W. Christopher, 2026. "Strong information delay as a driver of epidemic waves: Mathematical modeling for drug trends and epidemic bio-preparedness," Theoretical Population Biology, Elsevier, vol. 167(C), pages 22-39.
    3. Maranya M. Mayengo, 2022. "Optimal Control Model for Alcohol–Related Risk Behaviors and Beliefs in Tanzania," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).

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