Browsing by Author "Pushkar Kumar Singh"

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Combating unemployment through skill development
(Vilnius University Press, 2020) Arvind Kumar Singh; Pushkar Kumar Singh; Arvind Kumar Misra
In this paper, we propose and analyze a nonlinear mathematical model to study the effect of skill development on unemployment. We assume that government promulgates different levels of skill development programs for unemployed persons through which two different categories of skilled persons, namely, the low-skilled and the highly-skilled persons, are coming out and the highly-skilled persons are able to create vacancies. The model is studied using stability theory of nonlinear differential equations. We find analytically that there exists a unique positive equilibrium point of the proposed model system under some conditions. Also, the resulting equilibrium is locally as well as globally stable under certain conditions. The effective use of implemented policies to control unemployment by providing skills to unemployed persons and the new vacancies created by highly-skilled persons are identified by using optimal control analysis. Finally, numerical simulation is carried out to support analytical findings. © 2020 Authors. Published by Vilnius University Press.
Modeling the effect of unemployment augmented industrialization on the control of unemployment
(Springer Science and Business Media B.V., 2023) Pushkar Kumar Singh; Kusum Lata; Arvind Kumar Singh; Arvind Kumar Misra
The increase in human population at large scale has given the birth to the problem of unemployment as industrialization has not taken place in the same proportion. Some developing countries are making efforts for sustainable industrial growth to overcome with this problem. To tackle this problem, in the present paper, we propose a nonlinear mathematical model to study the role of unemployment-dependent industrial growth (geared industrialization) on the control of unemployment. The study of the model is based on using the method of stability theory of differential equations. The study reveals that the sustainable growth of industrialization helps to control the problem of unemployment. Finally, certain numerical calculations have been carried out to support analytical findings. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.
Modeling the Role of Skill Development to Control Unemployment
(Springer, 2022) A.K. Misra; Arvind K. Singh; Pushkar Kumar Singh
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. © 2017, Foundation for Scientific Research and Technological Innovation.