Mathematical Modeling and Threshold Analysis of Acceptable Failure Rate and Academic Standard
DOI:
https://doi.org/10.15359/ru.38-1.15Keywords:
certificate, compartmental model, academic standard, failure rates, tertiary education institutionsAbstract
A certificate is evidence of participating in a process, and anyone who holds a certificate is believed to have the prerequisites necessary to handle what the certificate qualifies them for. However, this perception might be incorrect if the certificate has been obtained by taking shortcuts. [Objective] In this paper, a compartmental model was developed to quantify factors that could put the authenticity of a certificate in doubt by examining the trade-off between academic standards and failure rates in the context of tertiary education institutions in Nigeria. [Methodology] The model was validated using several mathematical theorems. Equilibria for the model and the threshold for acceptable academic performance were derived. Stability analysis was carried out by using the stability theory of differential equations based on the derived acceptable academic performance threshold. [Results] The theoretical results for the model were validated through numerical simulations, and the results from the simulations linked acceptable failure rates to academic performance falling below the threshold of the institutions’ standards. [Conclusions] The policy implication of the result is that an increase in the supply of qualified graduates into Nigeria’s labor markets, as well as a reduction in the rate of unemployment, is a function of maintaining academic standards.
References
Adegbite, P. I. (2019). Examination malpractice as a malady to the development of educational programs in Nigeria. International Journal of Environmental Studies and Safety Research, 4(3), 49-53.
Adelowokan, O. A., Maku, O. E., Babasanya, A. O., & Adesoye, A. B. (2019). Unemployment, poverty and economic growth in Nigeria. Journal of Economics and Management, 35(1), 4-11.
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, 16(2), 1221-1247.
Akunne, L. I., Chigbo-Obasi, T. U., & Iwogbe, E. C. (2021). Perceived strategies for curbing examination malpractice among secondary school students in Nigeria. Asian Journal of Education and Social Studies, 20(4), 8-17.
Aminu, A. (2019). Characterizing graduate unemployment in Nigeria as education-job mismatch problem. African J. of Economics Review, 7(2), 113-130.
Ayoade, A. A., Farayola, P. I., & Lamidi, T. O. (2019). Dynamics and stability analysis of party switching in politics of Nigeria: a mathematical approach.Daffoldil International University Journal of Science and Technology,14(1), 53-60.
Ayoade, A. A., & Farayola, P. I. (2020a). Dynamics of examination malpractice among the key players in Nigeria. Daffodil International University Journal of Science and Technology, 15(2), 28-32.
Ayoade A. A., Folaranmi R., & Latunde T. (2020b). 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. https://doi.org/10.30958/ajs.7-1-3
Ayoade, A. A, Odetunde, O., & Falodun B. (2020c). Modeling and analysis of the impact of vocational education on the unemployment rate in Nigeria. Application and Applied Mathematics: An International Journal (AAM). 15(1), 550-564.
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.
Ayoade, A. A., & Agboola, S. O. (2022a). Mathematical analysis of the causes of examination malpractices in Nigeria: an epidemic modelling approach, Journal of Science and Mathematics Letters, 10(1), 44-54. https://doi.org/10.37134/jsml.vol10.1.5.2022
Ayoade, A.A., & Ibrahim, M.O. (2022b). Analysis of transformation dynamics and mitigation of COVID-19 in Nigeria: an insight from a mathematical model. The Aligarh Bulletin of Mathematics, 41(1), 81-106.
Ayoade, A. A. & Farayola, P. I. (2022c). A mathematical model to address out-of-school children menace for actualisation of sustainable development in Nigeria. Journal of Science and Arts, 22(3), 677-692. https://doi.org/10.46939/J.Sci.Arts-22.3-a14
Ayoade, A. A., Nkuba, N. & Ibrahim, M. O. (2023a). An epidemic model for control and possible elimination of Lassa fever. Tamkang Journal of Mathematics, DOI:10.5556/j.tkjm.55.2024.503
Ayoade, A. A., Oyedepo, T., & Agunbiade, S. (2023b). Mathematical modeling of Toxoplasma gondii between the environment and cat population under vaccination and sanitation. Journal of Fractional Calculus and Applications (JFCA). 14(1), 75-87.
Adeyemo, A. A., & Ayoade, A. A. (2023). Mathematical modeling of the effect of vaccination on the dynamics of infectious diseases. Nepal Journal of Mathematical Sciences (NJMS), 4(1), 1-10. https://doi.org/10.3126/njmathsci.v4i1.53151
Favour, A. O., & Anya, O. A. (2020). Mathematical model for Lassa fever transmission and control. Mathematics and Computer Science, 5(6), 110-118.
Federal Republic of Nigeria (2004). National policy on education, Revised edition, Lagos.
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.
Khan, M.A., Atangana, A., & Alzahrani, E. (2020). The dynamics of COVID-19 with quarantine and isolation. Advances in Difference Equations, 2020(1), 1-22.
Lakshmikantham, V., Leela, S., & Kaul, S. (1994). Comparison principle for impulsive differential equations with variable times and stability theory. Nonlinear Analysis, Theory, Methods & Application, 22(4), 499-503.
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.
Osadebe, P. U., & Bini, M. F. (2018). Assessment of factors affecting examinationmalpractice. European Journal of Educational Studies, 4(1), 20-33.
Razu, S. R., Akter, S., & Afrin, S. (2018). Factors affecting academic performance in tertiary education: a case study from Khulna University of Bangladesh. Pabna University of Science and Technology Studies, 3(1), 88-91.
Sulayman, F., Abdullah, F. A., & Mohd, M. H. (2021). An SVEIRE model of tuberculosis to assess the effect of an imperfect vaccine and other exogenous factors. Mathematics, 9,327. https://doi.org/10.3390/math9040327
Thompson, J. D., Ansoglenan, G., & Laar, S. (2020). Why do students engage in examination malpractice? The University for Development Studies experience. Journal of Social Science Studies, 7(1), 8-26.
Utomi, J.M. (24 March, 2022). Unemployment and a nation’s 40 per cent of hopelessness. The Guardian-Nigeria. https://guardian.ng/opinion/unemployment-and-a-nations-40-per-cent-of-hopelessness/
Yusuf, F. A., Okanlawon, A. E., & Oladayo, T. R. (2020). Investigation into factors affecting students’ academic performance in tertiary institutions as expressed by undergraduates. Journal of Education in Black Sea Region, 5(2), 62-75.
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