Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel
In this manuscript, we investigate a nonlinear SIQR pandemic model to study the behavior of covid-19 infectious diseases. The susceptible, infected, quarantine and recovered classes with fractal fractional Atangana-Baleanu-Caputo (ABC) derivative is studied. The non-integer order ℘ and fractal dimen...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822000321 |
| _version_ | 1798031261771497472 |
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| author | Adnan Amir Ali Mati ur Rahman Muhammad Arfan Zahir Shah Poom Kumam Wejdan Deebani |
| author_facet | Adnan Amir Ali Mati ur Rahman Muhammad Arfan Zahir Shah Poom Kumam Wejdan Deebani |
| author_sort | Adnan |
| collection | DOAJ |
| description | In this manuscript, we investigate a nonlinear SIQR pandemic model to study the behavior of covid-19 infectious diseases. The susceptible, infected, quarantine and recovered classes with fractal fractional Atangana-Baleanu-Caputo (ABC) derivative is studied. The non-integer order ℘ and fractal dimension q in the proposed system lie between 0 and 1. The existence and uniqueness of the solution for the considered model are studied using fixed point theory, while Ulam-Hyers stability is applied to study the stability analysis of the proposed model. Further, the Adams-Bashforth numerical technique is applied to calculate an approximate solution of the model. It is observed that the analytical and numerical calculations for different fractional-order and fractal dimensions confirm better converging effects of the dynamics as compared to an integer order. |
| first_indexed | 2024-04-11T19:54:40Z |
| format | Article |
| id | doaj.art-469d0e05428549289d479f321f256a7d |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T19:54:40Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-469d0e05428549289d479f321f256a7d2022-12-22T04:06:12ZengElsevierAlexandria Engineering Journal1110-01682022-10-01611077717779Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel Adnan0Amir Ali1Mati ur Rahman2Muhammad Arfan3Zahir Shah4Poom Kumam5Wejdan Deebani6Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, PakistanSchool of Mathematical Science, Shanghai Jiao Tong University, Shanghai, PR ChinaDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, PakistanDepartment of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan; Corresponding authors at: Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand (P. Kumam).Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Corresponding authors at: Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand (P. Kumam).King Abdulaziz University, College of Science & Arts, Department of Mathematics, Rabigh, Saudi ArabiaIn this manuscript, we investigate a nonlinear SIQR pandemic model to study the behavior of covid-19 infectious diseases. The susceptible, infected, quarantine and recovered classes with fractal fractional Atangana-Baleanu-Caputo (ABC) derivative is studied. The non-integer order ℘ and fractal dimension q in the proposed system lie between 0 and 1. The existence and uniqueness of the solution for the considered model are studied using fixed point theory, while Ulam-Hyers stability is applied to study the stability analysis of the proposed model. Further, the Adams-Bashforth numerical technique is applied to calculate an approximate solution of the model. It is observed that the analytical and numerical calculations for different fractional-order and fractal dimensions confirm better converging effects of the dynamics as compared to an integer order.http://www.sciencedirect.com/science/article/pii/S1110016822000321SIQRCOVID-19Fractional mathematical modelTheoretical resultFractional Adam-Bashforth method |
| spellingShingle | Adnan Amir Ali Mati ur Rahman Muhammad Arfan Zahir Shah Poom Kumam Wejdan Deebani Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel Alexandria Engineering Journal SIQR COVID-19 Fractional mathematical model Theoretical result Fractional Adam-Bashforth method |
| title | Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel |
| title_full | Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel |
| title_fullStr | Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel |
| title_full_unstemmed | Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel |
| title_short | Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel |
| title_sort | investigation of time fractional siqr covid 19 mathematical model with fractal fractional mittage leffler kernel |
| topic | SIQR COVID-19 Fractional mathematical model Theoretical result Fractional Adam-Bashforth method |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822000321 |
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