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Modeling the Role of Skill Development to Control Unemployment

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Abstract

In this paper, a nonlinear mathematical model to study the effect of skill development on the control of unemployment is proposed and analyzed. In the modeling process, three different classes; namely unemployed, self/temporary employed and regular employed are considered. It is also assumed that some academic institutions develop skills among the youths to get the employment; however the avenues to develop skills among the unemployed persons increases as the number of unemployed persons increases. It is further assumed that the rate of movement from unemployed class to self/temporary employed class increases as the avenues for skill development increases. The model is analyzed using stability theory of differential equations. It is found that the proposed model exhibits only one equilibrium, which is globally stable under certain conditions. Numerical simulation of the model has been carried out to confirm the analytical results.

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Authors and Affiliations

  1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221 005, India

    A. K. Misra, Arvind K. Singh & Pushkar Kumar Singh

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  1. A. K. Misra
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  2. Arvind K. Singh
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  3. Pushkar Kumar Singh
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Correspondence to Arvind K. Singh.

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Misra, A.K., Singh, A.K. & Singh, P.K. Modeling the Role of Skill Development to Control Unemployment. Differ Equ Dyn Syst 30, 397–409 (2022). https://doi.org/10.1007/s12591-017-0405-3

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  • DOI: https://doi.org/10.1007/s12591-017-0405-3

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