Does freelancing have a future? Mathematical analysis and modeling

Fareeha Sami Khan; M. Khalid; Ali Hasan Ali; Omar Bazighifan; Taher A. Nofal; Kamsing Nonlaopon; Fareeha Sami Khan; M. Khalid; Ali Hasan Ali; Omar Bazighifan; Taher A. Nofal; Kamsing Nonlaopon

doi:10.3934/mbe.2022435

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 9: 9357-9370. doi: 10.3934/mbe.2022435

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Research article

Does freelancing have a future? Mathematical analysis and modeling

1.
Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, University Road, Gulshan-e-Iqbal Campus, Karachi-75300, Pakistan
2.
Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq
3.
Doctoral School of Mathematical and Computational Sciences, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary
4.
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
5.
Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele Ⅱ, 39, 00186 Roma, Italy
6.
Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
7.
Department of Mathematic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
8.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Academic Editor: Jeffrey Yi-Lin Forrest

Received: 20 May 2022 Revised: 17 June 2022 Accepted: 22 June 2022 Published: 27 June 2022

During the past few years, freelancing has grown exponentially due to the pandemic and subsequent economical changes in the world. In fact, in the last ten years, a drastic increase in freelancing has been observed; people quit their jobs to be their own boss. There are various reasons for this: downsizing of employees, not having fun in their jobs, unemployment, part time work to earn more, etc. Observing this vast change, many individuals on Facebook/YouTube, NGOs, and government departments started teaching freelancing as a course; to date, thousands of youngsters have been trained to start their careers as freelancers. It has been observed that the ratio of informed freelancers is more successful than those who start their careers independently. We construct a compartmental model to explore the influence of information on the expansion of freelancing in this article, which was motivated by this surge in freelancing. Following that, the model is subjected to dynamical analysis utilizing dynamical systems and differential equation theory. To validate our analytical conclusions, we used numerical simulation.
- freelancing,
- social science,
- mathematical modeling,
- differential equation,
- numerical analysis,
- simulation
Citation: Fareeha Sami Khan, M. Khalid, Ali Hasan Ali, Omar Bazighifan, Taher A. Nofal, Kamsing Nonlaopon. Does freelancing have a future? Mathematical analysis and modeling[J]. Mathematical Biosciences and Engineering, 2022, 19(9): 9357-9370. doi: 10.3934/mbe.2022435

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Abstract

During the past few years, freelancing has grown exponentially due to the pandemic and subsequent economical changes in the world. In fact, in the last ten years, a drastic increase in freelancing has been observed; people quit their jobs to be their own boss. There are various reasons for this: downsizing of employees, not having fun in their jobs, unemployment, part time work to earn more, etc. Observing this vast change, many individuals on Facebook/YouTube, NGOs, and government departments started teaching freelancing as a course; to date, thousands of youngsters have been trained to start their careers as freelancers. It has been observed that the ratio of informed freelancers is more successful than those who start their careers independently. We construct a compartmental model to explore the influence of information on the expansion of freelancing in this article, which was motivated by this surge in freelancing. Following that, the model is subjected to dynamical analysis utilizing dynamical systems and differential equation theory. To validate our analytical conclusions, we used numerical simulation.

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