Mathematical Modeling of the Effects of Hard Drug Abuse on Young Girls Aged 15–20 Years

This paper presents a mathematical model for analyzing the effects of hard drug abuse among young girls aged 15–20. A compartmental model was developed, dividing the population into Susceptible, Exposed, Addicted, and Rehabilitated groups. The basic reproduction number (R0) was derived to evaluate the threshold condition for addiction persistence. Differential equations are formulated to describe the transitions between these states and to capture the dynamics of drug abuse within the population. Stability analysis of the model reveals threshold conditions under which drug addiction either persists or is eradicated. Numerical simulations demonstrate the influence of preventive measures, awareness campaigns, and rehabilitation efforts in reducing addiction prevalence. The results suggest that effective control strategies, when implemented collectively, can significantly minimize the harmful impact of drug abuse among young girls. This work provides a scientific framework that can guide policymakers, educators, and health practitioners in designing intervention programs tailored to adolescents.