Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling
The fractal–fraction derivative is an advanced category of fractional derivative. It has several approaches to real-world issues. This work focus on the investigation of 2nd wave of Corona virus in India. We develop a time-fractional order COVID-19 model with effects of disease which consist system...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722003394 |
| _version_ | 1818474648574099456 |
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| author | Muhammad Farman Maryam Amin Ali Akgül Aqeel Ahmad Muhammad Bilal Riaz Sheraz Ahmad |
| author_facet | Muhammad Farman Maryam Amin Ali Akgül Aqeel Ahmad Muhammad Bilal Riaz Sheraz Ahmad |
| author_sort | Muhammad Farman |
| collection | DOAJ |
| description | The fractal–fraction derivative is an advanced category of fractional derivative. It has several approaches to real-world issues. This work focus on the investigation of 2nd wave of Corona virus in India. We develop a time-fractional order COVID-19 model with effects of disease which consist system of fractional differential equations. Fractional order COVID-19 model is investigated with fractal–fractional technique. Also, the deterministic mathematical model for the Omicron effect is investigated with different fractional parameters. Fractional order system is analyzed qualitatively as well as verify sensitivity analysis. The existence and uniqueness of the fractional-order model are derived using fixed point theory. Also proved the bounded solution for new wave omicron. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease on society. Simulation has been made to understand the actual behavior of the OMICRON virus. Such kind of analysis will help to understand the behavior of the virus and for control strategies to overcome the disseise in community. |
| first_indexed | 2024-04-14T04:40:05Z |
| format | Article |
| id | doaj.art-a92b9f616e7d4718b1e4d55a77911121 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-14T04:40:05Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a92b9f616e7d4718b1e4d55a779111212022-12-22T02:11:42ZengElsevierResults in Physics2211-37972022-08-0139105630Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modelingMuhammad Farman0Maryam Amin1Ali Akgül2Aqeel Ahmad3Muhammad Bilal Riaz4Sheraz Ahmad5Department of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, PakistanDepartment of Mathematics and Statistics, University of Lahore, Lahore 54590, PakistanArt and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, TurkeyDepartment of Mathematics, Ghazi University, D. G. Khan, PakistanDepartment of Automation, Biomechanics and Mechatronics Lodz University of Technology, Lodz 90-924, Poland; Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan; Institute for Groundwater Studies, University of the Free State, Bloemfontein 9301, South Africa; Corresponding author.Department of Mathematics and Statistics, University of Lahore, Lahore 54590, PakistanThe fractal–fraction derivative is an advanced category of fractional derivative. It has several approaches to real-world issues. This work focus on the investigation of 2nd wave of Corona virus in India. We develop a time-fractional order COVID-19 model with effects of disease which consist system of fractional differential equations. Fractional order COVID-19 model is investigated with fractal–fractional technique. Also, the deterministic mathematical model for the Omicron effect is investigated with different fractional parameters. Fractional order system is analyzed qualitatively as well as verify sensitivity analysis. The existence and uniqueness of the fractional-order model are derived using fixed point theory. Also proved the bounded solution for new wave omicron. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease on society. Simulation has been made to understand the actual behavior of the OMICRON virus. Such kind of analysis will help to understand the behavior of the virus and for control strategies to overcome the disseise in community.http://www.sciencedirect.com/science/article/pii/S2211379722003394Fractal–fractional derivativeOmicronNumerical methodNumerical simulationsDifferent kernels |
| spellingShingle | Muhammad Farman Maryam Amin Ali Akgül Aqeel Ahmad Muhammad Bilal Riaz Sheraz Ahmad Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling Results in Physics Fractal–fractional derivative Omicron Numerical method Numerical simulations Different kernels |
| title | Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling |
| title_full | Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling |
| title_fullStr | Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling |
| title_full_unstemmed | Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling |
| title_short | Fractal–fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling |
| title_sort | fractal fractional operator for covid 19 omicron variant outbreak with analysis and modeling |
| topic | Fractal–fractional derivative Omicron Numerical method Numerical simulations Different kernels |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722003394 |
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