A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination
The primary goal of this research is to investigate COVID-19 transmission patterns in West Bengal, India in 2021; the first Coronavirus illness (COVID-19) in West Bengal was revealed on 17 March 2020. We employed the modified Susceptible-Asymptomatic-Vaccinated-Comorbidity-Infectious-Recovered (SAVI...
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| Format: | Article |
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MDPI AG
2021-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2806 |
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| author | Meghadri Das Guruprasad Samanta Manuel De la Sen |
| author_facet | Meghadri Das Guruprasad Samanta Manuel De la Sen |
| author_sort | Meghadri Das |
| collection | DOAJ |
| description | The primary goal of this research is to investigate COVID-19 transmission patterns in West Bengal, India in 2021; the first Coronavirus illness (COVID-19) in West Bengal was revealed on 17 March 2020. We employed the modified Susceptible-Asymptomatic-Vaccinated-Comorbidity-Infectious-Recovered (SAVICR) compartmental model as part of fractional orders because of the uncertainty created by the limited Coronavirus (COVID-19) information. In this article, two sub-compartments (Normal Infected and Infected with Co-morbidity) has been considered with vaccinated class, which is relevant in the present situation. We have studied the dynamical analysis of the system and also studied sensitivity of the parameters for West Bengal framework. We have also considered an optimal control problem taking social distancing (non-pharmaceutical treatments) as a control parameter along with vaccination. |
| first_indexed | 2024-03-10T05:57:14Z |
| format | Article |
| id | doaj.art-d36e5888875d4e1bbffa0497643909b4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:57:14Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d36e5888875d4e1bbffa0497643909b42023-11-22T21:19:07ZengMDPI AGMathematics2227-73902021-11-01921280610.3390/math9212806A Fractional Ordered COVID-19 Model Incorporating Comorbidity and VaccinationMeghadri Das0Guruprasad Samanta1Manuel De la Sen2Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaInstitute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, SpainThe primary goal of this research is to investigate COVID-19 transmission patterns in West Bengal, India in 2021; the first Coronavirus illness (COVID-19) in West Bengal was revealed on 17 March 2020. We employed the modified Susceptible-Asymptomatic-Vaccinated-Comorbidity-Infectious-Recovered (SAVICR) compartmental model as part of fractional orders because of the uncertainty created by the limited Coronavirus (COVID-19) information. In this article, two sub-compartments (Normal Infected and Infected with Co-morbidity) has been considered with vaccinated class, which is relevant in the present situation. We have studied the dynamical analysis of the system and also studied sensitivity of the parameters for West Bengal framework. We have also considered an optimal control problem taking social distancing (non-pharmaceutical treatments) as a control parameter along with vaccination.https://www.mdpi.com/2227-7390/9/21/2806Caputo fractional differential equationCOVID-19stabilitysensitivity indexcontrol |
| spellingShingle | Meghadri Das Guruprasad Samanta Manuel De la Sen A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination Mathematics Caputo fractional differential equation COVID-19 stability sensitivity index control |
| title | A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination |
| title_full | A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination |
| title_fullStr | A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination |
| title_full_unstemmed | A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination |
| title_short | A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination |
| title_sort | fractional ordered covid 19 model incorporating comorbidity and vaccination |
| topic | Caputo fractional differential equation COVID-19 stability sensitivity index control |
| url | https://www.mdpi.com/2227-7390/9/21/2806 |
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