A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic
The outbreak of COVID-19 infection and its effects have not spared any economy on the globe. The fourth variant has just announced its appearance with its high death toll and impact on economic activities. The basic reproductive number R0, which measures the transmission potential of an infectious d...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/5873432 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551292998778880 |
|---|---|
| author | John Awuah Addor Anthony Joe Turkson Douglas Yenwon Kparib |
| author_facet | John Awuah Addor Anthony Joe Turkson Douglas Yenwon Kparib |
| author_sort | John Awuah Addor |
| collection | DOAJ |
| description | The outbreak of COVID-19 infection and its effects have not spared any economy on the globe. The fourth variant has just announced its appearance with its high death toll and impact on economic activities. The basic reproductive number R0, which measures the transmission potential of an infectious disease, is extremely important in the study of epidemiology. The main purpose of this study was to derive R0 and assess the stability of the model around its equilibrium points. The motivation was to simulate the effect of COVID-19 on the demand for fashion products and how its application has impacted the COVID-19 pandemic. A five-compartment susceptible-infection-recovery-susceptible-based model was formulated in an integrated environment with application of fashion-based personal protective equipment (FPPEs) and government policy regulation, using ordinary differential equations. Solution techniques included a mix of qualitative analysis and simulations with data from various publications on COVID-19. The study revealed that the disease-free equilibrium was both locally and globally asymptotically stable (LAS and GAS) for R0≤1, while the disease-endemic equilibrium was both LAS and GAS for R0≥1. As the demand for FPPEs increases, R0 decreases, and vice versa. The sensitivity analysis indicated that R0 was very sensitive to the rate of application of FPPEs. This confirms the significance of high demand for FPPEs in reducing the transmission of COVID-19 infection. Again, the pandemic has had both positive and negative impacts on the demand for fashion products; however, the negative impact outweighed the positive impact. Another discovery was that government policy stringency was significant in increasing demand for FPPEs. The sensitivity analyses suggested prioritization of FPPEs application together with all recommended PPEs. We recommend inter alia that FPPEs be used together with other nonpharmaceutical interventions. Operators in the fashion industry must be dynamic in adjusting to the new trends of taste for fashion products. Finally, governments should maintain high policy stringency. |
| format | Article |
| id | doaj-art-ec4bf44afd3d48a2bc6e4aab0925abcd |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ec4bf44afd3d48a2bc6e4aab0925abcd2025-02-03T06:01:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/5873432A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 PandemicJohn Awuah Addor0Anthony Joe Turkson1Douglas Yenwon Kparib2Department of Mathematics, Statistics and Actuarial ScienceDepartment of Mathematics, Statistics and Actuarial ScienceDepartment of Mathematics, Statistics and Actuarial ScienceThe outbreak of COVID-19 infection and its effects have not spared any economy on the globe. The fourth variant has just announced its appearance with its high death toll and impact on economic activities. The basic reproductive number R0, which measures the transmission potential of an infectious disease, is extremely important in the study of epidemiology. The main purpose of this study was to derive R0 and assess the stability of the model around its equilibrium points. The motivation was to simulate the effect of COVID-19 on the demand for fashion products and how its application has impacted the COVID-19 pandemic. A five-compartment susceptible-infection-recovery-susceptible-based model was formulated in an integrated environment with application of fashion-based personal protective equipment (FPPEs) and government policy regulation, using ordinary differential equations. Solution techniques included a mix of qualitative analysis and simulations with data from various publications on COVID-19. The study revealed that the disease-free equilibrium was both locally and globally asymptotically stable (LAS and GAS) for R0≤1, while the disease-endemic equilibrium was both LAS and GAS for R0≥1. As the demand for FPPEs increases, R0 decreases, and vice versa. The sensitivity analysis indicated that R0 was very sensitive to the rate of application of FPPEs. This confirms the significance of high demand for FPPEs in reducing the transmission of COVID-19 infection. Again, the pandemic has had both positive and negative impacts on the demand for fashion products; however, the negative impact outweighed the positive impact. Another discovery was that government policy stringency was significant in increasing demand for FPPEs. The sensitivity analyses suggested prioritization of FPPEs application together with all recommended PPEs. We recommend inter alia that FPPEs be used together with other nonpharmaceutical interventions. Operators in the fashion industry must be dynamic in adjusting to the new trends of taste for fashion products. Finally, governments should maintain high policy stringency.http://dx.doi.org/10.1155/2022/5873432 |
| spellingShingle | John Awuah Addor Anthony Joe Turkson Douglas Yenwon Kparib A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic International Journal of Mathematics and Mathematical Sciences |
| title | A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic |
| title_full | A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic |
| title_fullStr | A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic |
| title_full_unstemmed | A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic |
| title_short | A Mathematical Model for the Growth Dynamics of Demand in the Fashion Industry within the Era of the COVID-19 Pandemic |
| title_sort | mathematical model for the growth dynamics of demand in the fashion industry within the era of the covid 19 pandemic |
| url | http://dx.doi.org/10.1155/2022/5873432 |
| work_keys_str_mv | AT johnawuahaddor amathematicalmodelforthegrowthdynamicsofdemandinthefashionindustrywithintheeraofthecovid19pandemic AT anthonyjoeturkson amathematicalmodelforthegrowthdynamicsofdemandinthefashionindustrywithintheeraofthecovid19pandemic AT douglasyenwonkparib amathematicalmodelforthegrowthdynamicsofdemandinthefashionindustrywithintheeraofthecovid19pandemic AT johnawuahaddor mathematicalmodelforthegrowthdynamicsofdemandinthefashionindustrywithintheeraofthecovid19pandemic AT anthonyjoeturkson mathematicalmodelforthegrowthdynamicsofdemandinthefashionindustrywithintheeraofthecovid19pandemic AT douglasyenwonkparib mathematicalmodelforthegrowthdynamicsofdemandinthefashionindustrywithintheeraofthecovid19pandemic |