- Optimal Implementation of Intervention to Control the Self-harm Epidemic
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Byul Nim Kim, M.A. Masud, Yongkuk Kim
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Osong Public Health Res Perspect. 2014;5(6):315-323. Published online December 31, 2014
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DOI: https://doi.org/10.1016/j.phrp.2014.10.001
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Abstract
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- Objectives
Deliberate self-harm (DSH) of a young person has been a matter of growing concern to parents and policymakers. Prevention and early eradication are the main interventional techniques among which prevention through reducing peer pressure has a major role in reducing the DSH epidemic. Our aim is to develop an optimal control strategy for minimizing the DSH epidemic and to assess the efficacy of the controls. Methods
We considered a deterministic compartmental model of the DSH epidemic and two interventional techniques as the control measures. Pontryagin's Maximum Principle was used to mathematically derive the optimal controls. We also simulated the model using the forward-backward sweep method. Results
Simulation results showed that the controls needed to be used simultaneously to reduce DSH successfully. An optimal control strategy should be adopted, depending on implementation costs for the controls. Conclusion
The long-term success of the optimum control depends on the implementation cost. If the cost is very high, the control could be used for a short term, even though it fails in the long run. The control strategy, most importantly, should be implemented as early as possible to attack a comparatively fewer number of addicted individuals.
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Citations
Citations to this article as recorded by
- A review of the use of optimal control in social models
D. M. G. Comissiong, J. Sooknanan International Journal of Dynamics and Control.2018; 6(4): 1841. CrossRef - Adolescent self‐harm and risk factors
Jixiang Zhang, Jianwei Song, Jing Wang Asia-Pacific Psychiatry.2016; 8(4): 287. CrossRef - Optimal Intervention Strategies for the Spread of Obesity
Chunyoung Oh, Masud M A Journal of Applied Mathematics.2015; 2015: 1. CrossRef
- Optimal Implementation of Intervention Strategies for Elderly People with Ludomania
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Byul Nim Kim, M.A. Masud, Yongkuk Kim
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Osong Public Health Res Perspect. 2014;5(5):266-273. Published online October 31, 2014
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DOI: https://doi.org/10.1016/j.phrp.2014.08.006
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3,093
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22
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1
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Abstract
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- 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.
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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
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