A Nonlinear Behaviour Debasement Analysis of Final Year Students of a Teacher Training Institution

Abstract

In this paper, we formulate and analyse a mathematical model for the dynamics of behaviour debasement in a teacher training facility by considering some control measures. Analysis of the model shows that the behaviour debasement model has a Free Equilibrium (FE) and a Persistent Equilibrium (PE). The next generation matrix method was used to compute the basic reproduction number, as the threshold parameter for the model so that whenever the behaviour debasement free equilibrium is both locally and globally asymptotically stable whereas when then the behaviour debasement persistence equilibrium will uniquely exist and at the same time will be globally asymptotically stable. The model was numerically simulated using MATLAB and the results indicated that counselling of the debased, graduation into professional teachers and expulsion of recalcitrant final year student teachers can significantly contribute in controlling behaviour debasement in the teacher training institution.
Therefore, the study recommended that more efforts should be channelled toward advocacy, enlightenment and campaign against behaviour debasement; the mechanism of counselling should be prioritised as well as maintaining a firm stance in the aspect of discipline.