Preprint Article Version 1 This version is not peer-reviewed

# Modeling and Analysis of Population Dynamics of Examination Malpractice Among Students

Version 1 : Received: 11 July 2018 / Approved: 11 July 2018 / Online: 11 July 2018 (11:43:03 CEST)

How to cite: Obasi, C.; Obiora, C.; Mbah, G.; Olawuyi, O. Modeling and Analysis of Population Dynamics of Examination Malpractice Among Students. Preprints 2018, 2018070196 (doi: 10.20944/preprints201807.0196.v1). Obasi, C.; Obiora, C.; Mbah, G.; Olawuyi, O. Modeling and Analysis of Population Dynamics of Examination Malpractice Among Students. Preprints 2018, 2018070196 (doi: 10.20944/preprints201807.0196.v1).

## Abstract

While examination malpractice has been a recognized social problem among students, the control of the phenomenon remains a challenge. In this study, we formulate a mathematical model describing the population dynamics of examination malpractice among students. Initial insight into the dynamics of the model is gained by analyzing some important mathematical features of the model such as the basic malpractice number. The malpractice-free equilibrium and endemic equilibrium points of the model are shown to be locally asymptotically stable when the basic malpractice number is less than unity. This result implies that examination malpractice can be totally eradicated among students when the basic malpractice number is less than unity. To understand the impact of controlling this social problem, we extend the model to incorporate awareness campaign and disciplinary measure as control strategies in curtailing the act. Our analysis reveals that incorporating control strategies have some influence in reducing examination malpractice among students. Further analysis indicates that considering both control strategies simultaneously yields a better result in reducing examination malpractice and examination malpractice will grow faster when control strategies are not introduced.

## Subject Areas

Examination malpractice; stability analysis; basic malpractice number