Mathematical Model on the Control/Eradication of the Consumption of Cannabis sativa in Afikpo North Local Government Area of Ebonyi State, Nigeria

Abstract

The present work studied the dynamics of the interaction of the susceptible and victims of Cannabis sativa smoking/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 control/eradication of Cannabis sativa smoking/consumption in Afikpo North Local Government Area of Ebonyi State via (a). Developing proper and all-encompassing schematic diagram from where the necessary differential equation 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 (3) 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 Cannabis sativa. The results show that, of all the five (5) control parameters, τ (which is the enlightenment control on the dangers and health hazards associated with the use of Cannabis sativa) is the most effective. The Government is then advised to set up an agency to be saddled with the responsibility of conducting enough sensitization on the dangers as well as the health hazards associated with the use of Cannabis sativa.