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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Mathematical Approach with Optimal Control: Reduction of Unemployment Problem in Bangladesh

Journal of Applied Nonlinear Dynamics 9(2) (2020) 231--246 | DOI:10.5890/JAND.2020.06.006

Uzzwal Kumar Mallick, Md. Haider Ali Biswas

Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh

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Abstract

Unemployment problems have become the most immense concerns all over the world. This issue is significantly an alarming concern in Bangladesh as well. This paper deals with a nonlinear mathematical model of unemployment which describes the situation of unemployment, employment and vacancies. The system of nonlinear differential equations has been developed and analyzed with two policies of government. In this study, we describe and analyze the modified model and check the stability of equilibrium points of the model. We also discuss the characteristics of states at equilibrium point for various parameters. Specially, we establish a project of five years toreduce the unemployment problems. We also simulate our model in the present of two optimal controls of unemployment model using optimal control technique.

Acknowledgments

The first author greatly acknowledges the financial support of NST fellowship with reference 26 of 39.00.000.012.002.01.03.004.16−14(56) in the session: 2016-2017, through the Ministry of Science and Technology, Bangladesh. It is also acknowledged that this work is also partially supported by the research project, with reference no. 6(74) UGC/ST/Physical-17/2017/3169, funded by the University Grants Commission (UGC), Bangladesh during 2017-2018.

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