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Some factors related to students maths anxiety are perceived to be important for academic failure. Such of these factors and some other factors contribute immensely to the problem of mathematics achievement that is spreading among students of Economics and Administrative Sciences. Considering such a problem as a maths anxiety, we propose a mathematical model to study how this problem is spread in the Faculty. We have discussed about basic properties of the system. Basic reproduction numbers are calculated. Our numerical findings are illustrated through computer simultaneous using MATLAB, which show the reliability of our model from the practical point of view. Students’ math-anxiety implications of our analytical findings are addressed critically. The model analysis reveals that all of the students start to show better maths achievement on the positive way during the semester (approximately 3,5 months). The sensitivity analysis of the parameters of the model shows that reducing maths anxiety by focusing positive change of behaviour in relation to the teaching of maths and the teachers’ way of teaching is an effective on students’ achievement of maths.