Modeling the Prescription Opioid Epidemic
Nicholas A Battista1, Leigh B Pearcy2,3, W Christopher Strickland4
1Department of Mathematics and Statistics, The College of New Jersey, 2000 Pennington Road, Ewing, NJ, 08628, USA.
Bulletin of Mathematical Biology
|April 24, 2019
Summary
Mathematical modeling of the opioid crisis shows that strict prescription controls are essential to stop addiction. Prevention and treatment are key to reducing opioid addiction, even with high relapse rates.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- Opioid addiction is a global epidemic, with rising overdose fatalities linked to prescription medications.
- Unlike typical epidemics, opioid addiction originates from legal drug sources, increasing accessibility and population exposure.
Purpose of the Study:
- To develop and validate a mathematical model for prescription drug addiction and treatment using opioid epidemic data.
- To analyze the dynamics of opioid addiction, including prescription, illicit sources, and treatment interventions.
Main Methods:
- Mathematical modeling to simulate opioid addiction and treatment dynamics.
- Analysis of addiction-free equilibrium conditions.
- Numerical sensitivity analysis to evaluate intervention strategies.
Main Results:
- No addiction-free equilibrium is achievable without stringent control over opioid prescription and administration.
- Focusing on medical prevention followed by aggressive treatment can lead to low endemic addiction states, even with high relapse rates.
- Mathematical analysis indicates the epidemic may cease to be self-sustaining under strict controls.
Conclusions:
- Stringent regulation of opioid prescribing is critical to curb the addiction epidemic.
- A combined strategy of medical prevention and robust treatment is effective in managing opioid addiction.
- Further research on illicit drug dependence, overdose risk, and evolving prescription/treatment rates is needed for optimal control strategies.
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