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Abstract

Unemployment is a major determinant of a weak economy and a good measure of living standard in a country. Nigeria is faced with the problem of unemployment at present. By that, a mathematical model is formulated to investigate the effect of vocational education on the unemployment challenges in Nigeria. The model is tested for the basic requirements of a good mathematical model. The equilibrium analysis of the model is conducted and both the unemployment-free and the unemployment endemic equilibria are obtained. The threshold for the implementation success of the vocational education program is also derived following the approach of epidemic models. Stability analysis of the unemployment-free equilibrium is performed via the stability theory of nonlinear differential equations. Numerical simulation is carried out using parameter values from published data as well as assumption. The result of the simulation shows that the current unemployment rate in Nigeria is going to the peak unless vocational education is revived and makes to function.

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