On Mathematical Modelling of the Indian Human Hair Industry in the Post-COVID-19 Era

Abstract

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.

Mathematical Modeling and Stability Analysis of the COVID-19 Spread by Considering Quarantine and Hospitalize

“…For comparison purposes, some other published references also used data with less than or equal to six months of the observation in their models and have produced good simulation results (see e.g. [2,4,5,11,13,15,22,[24][25][26]28]).…”

“…Furthermore, various studies about COVID-19 spread analysis using dynamical systems are also available in the literature, which were used to determine the effectiveness of treatments to prevent the transmission of the virus (see e.g. [20][21][22][23][24][25][26]). We summarize the specification of each developed model as well as the proposed model in this paper in Table 1.…”