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A mathematical view towards improving undergraduate student performance and mitigating dropout risks

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dc.contributor.author Zhang H.
dc.contributor.author Apeanti W.O.
dc.contributor.author Akuamoah S.W.
dc.contributor.author Yaro D.
dc.contributor.author Georgescu P.
dc.date.accessioned 2022-10-31T15:05:11Z
dc.date.available 2022-10-31T15:05:11Z
dc.date.issued 2021
dc.identifier.issn 13925113
dc.identifier.other 10.15388/namc.2021.26.24120
dc.identifier.uri http://41.74.91.244:8080/handle/123456789/301
dc.description Zhang, H., Changzhou Institute of Technology, Changzhou, Jiangsu, 213032, China; Apeanti, W.O., University of Education, Winneba, Ghana; Akuamoah, S.W., Ho Technical University, P.O. Box HP 217, Ho, Ghana; Yaro, D., Jiangsu University, ZhenJiang, JiangSu, 212013, China; Georgescu, P., Technical University of Ia?i, Bd. Copou 11A, Ia?i, 700506, Romania en_US
dc.description.abstract In this paper, we assess the relevance of social and cognitive factors such as self-efficacy, locus of control and exposure to negative social influence in relation to undergraduate student dropout. To this purpose, we analyze a compartmental model involving a system of nonlinear ODEs, which is loosely based upon the SIR model of mathematical epidemiology and describes the academic performance of the student population. We examine threshold values that govern the stability of the equilibria and can be viewed as target values to be reached in order to alleviate undergraduate students dropout. A backward bifurcation is observed to occur, analytically and numerically, provided that certain conditions are satisfied. A sensitivity analysis is then performed to find how the threshold values respond to changes in the parameters, a procedure for estimating these parameters being also proposed. Concrete values are then computed using survey data from a Ghanaian university. The impact of parameter variation upon the dynamics of the system, particularly on certain population sizes and on threshold values, is also numerically illustrated. Our findings are then interpreted from a social cognitive perspective, realistic policy changes being proposed along with appropriate teaching and coaching strategies. � 2021 Authors. Published by Vilnius University Press. en_US
dc.publisher Vilnius University Press en_US
dc.subject Bifurcation en_US
dc.subject Dropout en_US
dc.subject Locus of control en_US
dc.subject Self-efficacy en_US
dc.subject Social influence en_US
dc.subject Stability en_US
dc.subject Threshold parameters en_US
dc.title A mathematical view towards improving undergraduate student performance and mitigating dropout risks en_US
dc.type Article en_US


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