Mathematical Modeling: A Study of Corruption among Students of Nigeria Tertiary Institutions

Abstract

Corruption is a slow poison damaging students and consequently societies and nations, virtually, all students of Nigerian tertiary institutions are exposed to corruption. In this study, an attempt is made to formulate the dynamics of corruption among students of Nigerian tertiary institutions. We describe mathematical modeling of corruption among students using an epidemiological compartment model. The population at risk of adopting corrupt ideology was divided into four compartments: S(t) is the susceptible class, E(t) is the Exposed class, C(t) is the Corrupted class and P(t) is the punished class. The positivity and boundedness of the model were established. The model possesses both corruption-free and endemic equilibrium. Likewise, the model exhibits threshold dynamics characterized by the basic reproduction number R0. The numerical implementation of the model reveals that corruption will persist among Nigeria students if the root cause were not eradicated.