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Original Articles
Optimal Implementation of Intervention Strategies for Elderly People with Ludomania
Byul Nim Kim, M.A. Masud, Yongkuk Kim
Osong Public Health Res Perspect. 2014;5(5):266-273.   Published online October 31, 2014
DOI: https://doi.org/10.1016/j.phrp.2014.08.006
  • 2,558 View
  • 18 Download
  • 1 Crossref
AbstractAbstract PDF
Objectives
Now-a-days gambling is growing especially fast among older adults. To control the gratuitous growth of gambling, well-analyzed scientific strategies are necessary. We tried to analyze the adequacy of the health of society mathematically through immediate treatment of patients with early prevention.
Methods
The model from Lee and Do was modified and control parameters were introduced. Pontryagin's Maximum Principle was used to obtain an optimal control strategy.
Results
Optimal control can be achieved through simultaneous use of the control parameters, though it varies from society to society. The control corresponding to prevention needed to be implemented in full almost all the time for all types of societies. In the case of the other two controls, the scenario was greatly affected depending on the types of societies.
Conclusion
Prevention and treatment for elderly people with ludomania are the main intervention strategies. We found that optimal timely implementation of the intervention strategies was more effective. The optimal control strategy varied with the initial number of gamblers. However, three intervention strategies were considered, among which, preventing people from engaging in all types of gambling proved to be the most crucial.

Citations

Citations to this article as recorded by  
  • Roll the Dice
    Hae-Wol Cho, Chaeshin Chu
    Osong Public Health and Research Perspectives.2014; 5(5): 243.     CrossRef
A Differential Equation Model for the Dynamics of Youth Gambling
Tae Sug Do, Young S. Lee
Osong Public Health Res Perspect. 2014;5(4):233-241.   Published online August 31, 2014
DOI: https://doi.org/10.1016/j.phrp.2014.06.008
  • 2,879 View
  • 12 Download
  • 8 Crossref
AbstractAbstract PDF
Objectives
We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention and control strategies.
Methods
A simple epidemiological model is created using ordinary nonlinear differential equations, and a threshold condition that spreads gambling is identified through stability analysis. We estimate all the model parameters using a longitudinal prevalence study by Winters, Stinchfield, and Botzet to run numerical simulations. Parameters to which the system is most sensitive are isolated using sensitivity analysis.
Results
Problem gambling is endemic among young people, with a steady prevalence of approximately 4–5%. The prevalence of problem gambling is lower in young adults aged 18–24 years than in adolescents aged 16–18 years. At-risk gambling among young adults has increased. The parameters to which the system is most sensitive correspond to primary prevention.
Conclusion
Prevention and control strategies for gambling should involve school education. A mathematical model that includes the effect of early exposure to gambling would be helpful if a longitudinal study can provide data in the future.

Citations

Citations to this article as recorded by  
  • Optimal control model for criminal gang population in a limited-resource setting
    Oluwasegun M. Ibrahim, Daniel Okuonghae, Monday N. O. Ikhile
    International Journal of Dynamics and Control.2023; 11(2): 835.     CrossRef
  • Assessing the impact of escalating attacks on soft targets by criminal gang: A modelling viewpoint using bifurcation analysis
    Major Murtala Bello Aliyu, Ali Audu Baidu, Bala Ma’aji Abdulhamid, Mohammed Olanrewaju Ibrahim, Fu’ad Muhammad Mukhtar
    Mathematics and Computers in Simulation.2023; 212: 122.     CrossRef
  • Whose Responsibility Is It to Prevent or Reduce Gambling Harm? A Mapping Review of Current Empirical Research
    Murat Akçayır, Fiona Nicoll, David G. Baxter, Zachary S. Palmer
    International Journal of Mental Health and Addicti.2022; 20(3): 1516.     CrossRef
  • Mathematical Modeling of the Population Dynamics of Age-Structured Criminal Gangs with Correctional Intervention Measures
    Oluwasegun M. Ibrahim, Daniel Okuonghae, Monday N.O. Ikhile
    Applied Mathematical Modelling.2022; 107: 39.     CrossRef
  • Emerging Gambling Problems and Suggested Interventions: A Systematic Review of Empirical Research
    Murat Akçayır, Fiona Nicoll, David G. Baxter
    Journal of Gambling Studies.2022; 39(2): 857.     CrossRef
  • Roll the Dice
    Hae-Wol Cho, Chaeshin Chu
    Osong Public Health and Research Perspectives.2014; 5(5): 243.     CrossRef
  • Summing Up Again
    Hae-Wol Cho, Chaeshin Chu
    Osong Public Health and Research Perspectives.2014; 5(4): 177.     CrossRef
  • Optimal Implementation of Intervention Strategies for Elderly People with Ludomania
    Byul Nim Kim, M.A. Masud, Yongkuk Kim
    Osong Public Health and Research Perspectives.2014; 5(5): 266.     CrossRef

PHRP : Osong Public Health and Research Perspectives