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Optimal implementation of intervention strategies for elderly people with ludomania.

Kim BN, Masud MA, Kim Y - Osong Public Health Res Perspect (2014)

Bottom Line: 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.However, three intervention strategies were considered, among which, preventing people from engaging in all types of gambling proved to be the most crucial.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Kyungpook National University, Daegu, Korea.

ABSTRACT

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.

No MeSH data available.


Variation of optimal controls subject to social structure for B1 = 5000, B2 = 500 and B3 = 50,000.
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fig3: Variation of optimal controls subject to social structure for B1 = 5000, B2 = 500 and B3 = 50,000.

Mentions: On the other hand, the control scenario would not be similar in all societies. The control scenario might be greatly affected by the number of gamblers and pathological gamblers, that is to say, the control scenario may vary depending on the initial conditions. To analyze the effect of the number of gamblers in society, keeping the total population unchanged, we varied the total number of gamblers and pathological gamblers from 5% to 35%, among which gamblers and pathological gamblers were in the ratio 7:3, and the proportion of treated gamblers was 5% of the total gambling population. Simulation results have been plotted in Figure 3, which illustrates that the control is implemented in full for almost all the time in all types of societies. In the case of and , the scenario was more dramatic. Both of the controls had maximum implementation for a long time in a highly-gambling society only. As the percentage of gamblers fell, maximum implementation of shrank gradually. However, in the case of , it reduced slowly up to ∼20%, after which it fell abruptly. For and , if the gambling populations were <11% and <10%, respectively, maximum implementation was not necessary at all. However, in societies with a low percentage of gamblers is used more than .


Optimal implementation of intervention strategies for elderly people with ludomania.

Kim BN, Masud MA, Kim Y - Osong Public Health Res Perspect (2014)

Variation of optimal controls subject to social structure for B1 = 5000, B2 = 500 and B3 = 50,000.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4225652&req=5

fig3: Variation of optimal controls subject to social structure for B1 = 5000, B2 = 500 and B3 = 50,000.
Mentions: On the other hand, the control scenario would not be similar in all societies. The control scenario might be greatly affected by the number of gamblers and pathological gamblers, that is to say, the control scenario may vary depending on the initial conditions. To analyze the effect of the number of gamblers in society, keeping the total population unchanged, we varied the total number of gamblers and pathological gamblers from 5% to 35%, among which gamblers and pathological gamblers were in the ratio 7:3, and the proportion of treated gamblers was 5% of the total gambling population. Simulation results have been plotted in Figure 3, which illustrates that the control is implemented in full for almost all the time in all types of societies. In the case of and , the scenario was more dramatic. Both of the controls had maximum implementation for a long time in a highly-gambling society only. As the percentage of gamblers fell, maximum implementation of shrank gradually. However, in the case of , it reduced slowly up to ∼20%, after which it fell abruptly. For and , if the gambling populations were <11% and <10%, respectively, maximum implementation was not necessary at all. However, in societies with a low percentage of gamblers is used more than .

Bottom Line: 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.However, three intervention strategies were considered, among which, preventing people from engaging in all types of gambling proved to be the most crucial.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Kyungpook National University, Daegu, Korea.

ABSTRACT

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.

No MeSH data available.