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Journal of Applied Nonlinear Dynamics 15(3) (2026) 751--763 | DOI:10.5890/JAND.2026.09.016

Oluwole Daniel Makinde$^1$, Adetayo Samuel Eegunjobi$^2$

$^1$ Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

$^2$ Mathematics Department, Namibia University of Science and Technology, Windhoek, Namibia

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Abstract

In this paper, we present a study on the dynamics of knowledge acquisition in learning environments. We utilized compartmental models to investigate the complex factors influencing knowledge dissemination within academic settings. Our analysis included estimating the basic reproduction number, analyzing the equilibria, and assessing the stability of the models. We also conducted sensitivity and bifurcation analyses of the proposed model. Finally, we presented numerical simulations to highlight the outcomes of our analytical work.

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