Abayomi Ayotunde Ayoade
2 Publications in AERD
Author Publications
Export PDFMathematical Modeling and Threshold Analysis of Acceptable Failure Rate and Academic Standard; [Modelagem matemática e análise de limite de taxa de reprovação aceitável e padrão acadêmico]; [Modelado matemático y análisis de umbral de tasa de reprobación aceptable y estándar académico]
By Abayomi Ayotunde Ayoade
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. © 2024 Universidad Nacional. All rights reserved.
Functional Education as a Nexus between Agricultural and Industrial Revolution: An Epidemiological Modeling Approach; [A Educação Funcional como Elo entre as Revoluções Agrícola e Industrial: Uma Abordagem de Modelagem Epidemiológica]; [La educación funcional como nexo entre la revolución agrícola y la industrial: Un enfoque de modelado epidemiológico]
By Abayomi Ayotunde Ayoade
Education has been regarded as a major route to economic prosperity. Its potentials, if properly exploited, have the tendency to revolutionize a nation’s productivity, income, and development. [Objetive] In this work, a mathematical model was formulated, and an epidemiological modeling approach was explored to derive the necessary and sufficient conditions for agricultural and industrial transformation in Nigeria in terms of education. The use of mathematics to quantify such a phenomenon is relatively new. [Methodology] Ample mathematics theorems were employed to test for the existence, boundedness, and positivity of the model’s solutions which are basic features of a valid epidemiological model. The model was solved to derive the equilibrium points, and the analytic threshold that governed revolution in industry and agriculture in terms of education was derived. Stability and sensitivity analyses were conducted via the stability theory of nonlinear differential equations and normalized forward sensitivity index, respectively. Simulations were later conducted using the Maple software to validate the analytical results. [Results] A government expenditure of 25% on education with or without corruption did not make education functional. Also, an increase in expenditure on education to 65% but with corruption of more than 30% retarded functional education. In general, education became functional when government investment in education attained 60%, with corruption levels lower than 20%. [Conclusions] Both the analytical and numerical results linked agricultural transformation and industrial revolution through functional education to massive investment in education and victory over corruption. © Universidad Nacional. All Rights Reserved.
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