Modelling the Impact of Drug Abuse on a Nation's Education Sector
DOI:
https://doi.org/10.5890/JAND.2023.03.004Abstract
The problem of illicit drug use with its associated hazardous effects on social behaviour and human population dynamics require an intervention. In this study, a compartmental deterministic model for the dynamics of illicit drug use student population is proposed and analysed. The illicit drug use threshold, $\mathcal R_0$, associated with the model is computed. The Centre Manifold Theorem is used to establish bifurcation phenomenon. By constructing suitable Lyapunov functions, the global asymptotic stability of the illicit drug-free and illicit drug-present equilibria exhibits by the model is established. It is shown that the illicit drug-free equilibrium is globally asymptotically stable if $\mathcal R_0<1$, otherwise the illicit drug-present equilibrium is globally asymptotically stable. Sensitivity analysis is performed to gain insight into how the model parameters contribute to the dynamics of illicit drug use student population.References
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