Mathematical Analysis of the Causes of Examination Malpractices in Nigeria: An Epidemic Modelling Approach
Keywords:Examination Malpractice, Model, Equilibrium Analysis, Reproductive Ratio, Examination Contractors
Examination malpractice is a social disease that derails the entire process, conduct and outcome of examinations. In this study, the entire causes of examination malpractice in Nigeria are categorised into four and a deterministic compartmental mathematical model is built around the four classes in order to identify the factors to be addressed to curb the menace of examination malpractice in the country. The solutions of the model are proved to exist, unique and positive. The equilibrium analysis is conducted and the stability theory of nonlinear differential equations is employed to show that the examination malpractice endemic equilibrium of the model is locally asymptotically stable. The societal disposition reproductive ratio, a quantity that measures the rate at which societal values influence the rate of indulgence in examination malpractices, is also derived following the approach of epidemic modelling and the results obtained from the study reveal that the causes of examination malpractice in Nigeria can be brought under control if there is a radical change in the norms and institutions of the society as well as drastic reduction in the population of examination contractors.
Achio, S., Ameko, E., Kutsaedzie, F., Alhassan, S., & Ganaa, F. (2012). Concerns on issues of examination malpractices: a case study of Accra Polytechnic. Natural and Applied Sciences, 3(2), 145-154.
Akaranga, S. I., & Ongong, J. J. (2013). The phenomenon of examination malpractice: an example of Nairobi and Kenyatta Universities. Journal. of Education and Practice, 4(18), 87-96.
Akinferon, A. A., Ikpah, O. C., Bamigbala, A. O., & Adeniyi, O. I. (2016). On examination malpractice in Nigeria Universities: factors analysis definition. Bulgarian Journal of Science and Education Policy, 10(1), 174-190.
Amadi, C. E., & Opuiyo, A. R. (2018). Examination malpractice and Nigerian University students: a study of River State University, Port Harcourt. International Journal of Innovative, Legal & Political Studies,6(2), 19-28.
Ayoade, A.A., Ibrahim, M. O., Peter, O. J. and Amadiegwu, S. (2019a). On validation of an epi-demiological model. Journal of Fundamental and Applied Sciences, 11(2),578-586.
Ayoade, A. A., Agboola, S. O. & Ibrahim, M. O. (2019b). Mathematical analysis of the effect of maternal immunity on the global eradication of measles. Anale. Seria Informatica, 17(1), 235-241.
Ayoade, A.A., Folaranmi, R.O. and Latunde, T. (2020a). Mathematical analysis of the implication of the proposed rise in the retirement age on the unemployment situation in Nigeria. Athens Journal of Sciences, 7(1), 29-42.
Ayoade A.A., & Farayola P.I. (2020b). Dynamics of examination malpractice among the key players in Nigeria. Daffodil International University Journal of Science and Technology 15(2), 25-32.
Adenuga, J. I., Ajide, K. B., Odeleye, A. T., & Ayoade, A. A. (2021). Abundant natural resources, ethnic diversity and inclusive growth in sub-saharan Africa: a mathematical approach. Application and Applied Mathematics: An International Journal (AAM), 16(2): 1221-1247.
Ayoade A.A., & Farayola P.I. (2021). A mathematical modelling of economic restoration through agricultural revitalisation in Nigeria. Journal of Quality Measurement and Analysis, 17(1), 79-91.
Davie, A. N., & Eluwa, B. O. (2016). Assessment of the effectiveness of management strategies for curbing examination malpractice in Secondary Schools in Nigeria. European Journal of Education Studies, 2(1), 77-89.
Derrick, W., & Grossman, S.I. (1976). Elementary Differential Equations with Applications: Short Course, Addison-Wesley Publishing Company, Philippines
Hounvenou, L. A. S. & Hounvenou, E. C. (2015). Examination malpractice in Nigeria, its origin, consequences and the way out. World Educators Forum, 7(1), 1-8.
Kamau, K. L., & Kiprop, W. R. (2017). Examination malpractice among secondary schools students in Cross River State – Nigeria: socio-economic factor. International Journal of Innovative Research and Knowledge, 2(2), 1-8.
Kawugana, A., & Wayopwa, A. K. (2017). Impact of examination malpractice on the quality of graduates in Nigeria. International Journal of Education and Evaluation, 3(6), 45-51.
Makaula, F. B. (2018). Perceived causes and methods of examination malpractices in the Malawian education system: a case study of secondary schools in Southeast Education Division (SEED), (Ph.D. Dissertation), University of Northern Iowa, USA, 2018.
Okey, A. S., & Ewa, A. M. (2019). Examination malpractice and corruption among students at Cross River State University of Technology, Calabar, Nigeria. International Journal of Quantitative and Qualitative Research Method, 7(2), 27-38.
Oko, S. U., & Adie, R. I. (2016). Examination malpractice: causes, effect and possible ways of curbing the menace. A study of Cross River University of Technology. International Journal of Managerial Studies and Research, 4(1), 59-65.
Omemu, F. (2015). Causes of examination malpractice in Nigeria schools. British Journal of Education, 3(7), 34-41.
Osadebe, P. U., & Bini, M. F. (2018). Assessment of factors affecting examination malpractice. European Journal of Educational Studies, 4(1), 20-33.