Open AccessOn Mathematical Modelling of the Indian Human Hair Industry in the Post-COVID-19 Era
Author(s) -
Shibam Manna,
Tanmay Chowdhury,
Asoke Kumar Dhar,
Juan J. Nieto
Publication year - 2021
Publication title -
mathematical modelling and engineering problems/mathematical modelling of engineering problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.26
H-Index - 11
eISSN - 2369-0747
pISSN - 2369-0739
DOI - 10.18280/mmep.080315
Subject(s) - covid-19 , pandemic , profit (economics) , mathematical model , operations research , computer science , economics , econometrics , mathematics , statistics , microeconomics , biology , medicine , disease , pathology , virology , outbreak , infectious disease (medical specialty)
An attempt to model the human hair industry in the post-COVID-19 pandemic situation using mathematical modelling has been the goal of this article. Here we introduce a novel mathematical modelling using a system of ordinary differential equations to model the human hair industry as well as the human hair waste management and related job opportunities. The growth of human hair in the months of nationwide total lockdown has been taken into account and graphs have been plotted to analyze the effect of Lockdown in this model. The alternative employment opportunities that can be created for collecting excessive hair in the post-pandemic period has been discussed. A probable useful mathematical model and mechanism to utilize the migrant labours who became jobless due to the pandemic situation and the corresponding inevitable lockdown situation resulting out of that crisis has been discussed in this paper. We discussed the stability analysis of the proposed model and obtained the criteria for an optimal profit of the said model. Graphs have also been plotted to analyze the impact of the control parameter on the optimal profit.