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Optimal Implementation of Intervention to Control the Self-harm Epidemic
Byul Nim Kim1, M A Masud1, Yongkuk Kim1
1Department of Mathematics, Kyungpook National University, Daegu, Korea.
Osong Public Health and Research Perspectives
|January 7, 2015
Summary
Preventing deliberate self-harm (DSH) requires simultaneous interventions, with early implementation being key. The optimal control strategy
Area of Science:
- Epidemiology
- Mathematical Modeling
- Public Health
Background:
- Deliberate self-harm (DSH) in young people is a growing public health concern.
- Reducing peer pressure is a critical factor in preventing DSH epidemics.
- Early intervention strategies are crucial for managing DSH.
Purpose of the Study:
- To develop an optimal control strategy for minimizing the DSH epidemic.
- To assess the efficacy of implemented control measures.
- To analyze the impact of intervention costs on long-term success.
Main Methods:
- A deterministic compartmental model of the DSH epidemic was utilized.
- Pontryagin's Maximum Principle was applied to derive optimal control strategies.
- Forward-backward sweep method was employed for model simulation.
Main Results:
- Simultaneous application of control measures is necessary for successful DSH reduction.
- The optimal control strategy's adoption depends on implementation costs.
- Early implementation is more effective in controlling the DSH epidemic.
Conclusions:
- Long-term success of DSH control is contingent upon implementation costs.
- High-cost controls may only be effective for short durations.
- Implementing control strategies early, targeting fewer individuals, is paramount.