• Ibrahim Danbaba
• Muhammad Mukhtar Hussain
• kabiru Zailani

In this paper, we developed a mathematical modeling to investigate the impact of vocational education on the unemployment rate in Nigeria by incorporating control strategy. In developing our model, the population was compartmentalized into Vocational-Theoretical-Unemployed-Employed-Apprenticed (VTUEA). The model developed in a system of differential equations. Equilibrium points of the system and basic reproduction number were obtained, existence and uniqueness of the solution, invariant region, positivity of the solution was established. The dynamics of the rate of unemployment is determined by the Implementation Success Ratio of Vocational Education Program if the unemployment-free equilibrium is positive and if the unemployment will persist in the country. The results showed that the dynamic of the system is well-posedness. It’s recommended that Parents should continue encouraging their children to study vocational education at all level of educational system and government should institute apprenticeship Centre across the country

Positivity, existence and uniqueness, invariant region, unemployment free equilibrium, endemic equilibrium, Implementation Success Ratio

"Analytical Solution of the Impact of Vocational Education on the Unemployment Rate in Nigeria: Incorporating Control Strategy", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 3, page no.e694-e701, March-2023, Available :http://www.jetir.org/papers/JETIR2303489.pdf

"Analytical Solution of the Impact of Vocational Education on the Unemployment Rate in Nigeria: Incorporating Control Strategy", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 3, page no. ppe694-e701, March-2023, Available at : http://www.jetir.org/papers/JETIR2303489.pdf