A stochastic model of alcohol consumption: Stability and global dynamics
Abstract
This paper develops a stochastic mathematical model to study the stability and global dynamics of alcohol consumption. The population is divided into four compartments, with transitions described by deterministic differential equations and extended with stochastic perturbations to capture random variability. Stability is analyzed using Lyapunov functions, while a global sensitivity analysis based on partial rank correlation coefficients (PRCC) identifies key parameters driving long-term outcomes. Numerical simulations validate the theory, showing how initiation, relapse, and cessation rates shape system resilience and the effectiveness of intervention strategies. The results reveal how stochastic effects and targeted interventions determine drinking behavior trends.
Fields of Study & Subjects
Alcohol Consumption and Health Effects
Substance Abuse Treatment and Outcomes
Complex Systems and Time Series Analysis
Publication details
- Journal / source
- Kuwait Journal of Science
- Publisher
- Elsevier BV
- Volume
- 53
- Issue
- 2
- Pages
- 100542–100542
- Publication date
- 22 January 2026
- Language
- EN