MATHEMATICAL MODEL ON THE CONTROL/MANAGEMENT OF THE METHAMPHETAMINE CONSUMPTION IN AFIKPO NORTH LOCAL GOVERNMENT AREA OF EBONYI STATE

Abstract

The present work studied the dynamics of the interaction of the susceptible and victims of Methamphetamine consumption using a mathematical model SEIR (Susceptible, Exposed, Infected, and Recovered/Removed) approach with sensitive control parameters introduced accordingly. We strive at developing a set of model equations from a schematic diagram designed as to enable us conduct some necessary analyses for the study. We derive a deterministic model on the consumption of Methamphetamine in Afikpo Local Government Area of Ebonyi State via a. Developing proper and all-encompassing schematic diagram from the necessary differential equations will be generated for use for the research analyses, b. Introducing/employing of ideal control parameters or measures at the right/vital compartments in the schematic diagram, c. Conducting the three relevant/basic analyses such as i. Stability, ii. Endemicity, iii. Sensitivity analyses of the model equations, d. Simulating the system using a derived sensitivity index table with the help of R₀, and e. Interpreting the resulting graphs that will provide the effective control measures on the use of Methamphetamine. It is discovered that our control parameter which is the enlightenment control to avoid the use of methamphetamine is the most effective control measure in respect to the dangers associated with this substance.