A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects
A generalized version of fractional models is introduced for the COVID-19 pandemic, including the effects of isolation and quarantine. First, the general structure of fractional derivatives and integrals is discussed; then the generalized fractional model is defined from which the stability results...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682100702X |
| _version_ | 1828336617262153728 |
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| author | D. Baleanu M. Hassan Abadi A. Jajarmi K. Zarghami Vahid J.J. Nieto |
| author_facet | D. Baleanu M. Hassan Abadi A. Jajarmi K. Zarghami Vahid J.J. Nieto |
| author_sort | D. Baleanu |
| collection | DOAJ |
| description | A generalized version of fractional models is introduced for the COVID-19 pandemic, including the effects of isolation and quarantine. First, the general structure of fractional derivatives and integrals is discussed; then the generalized fractional model is defined from which the stability results are derived. Meanwhile, a set of real clinical observations from China is considered to determine the parameters and compute the basic reproduction number, i.e., R0≈6.6361. Additionally, an efficient numerical technique is applied to simulate the new model and provide the associated numerical results. Based on these simulations, some figures and tables are presented, and the data of reported cases from China are compared with the numerical findings in both classical and fractional frameworks. Our comparative study indicates that a particular case of general fractional formula provides a better fit to the real data compared to the other classical and fractional models. There are also some other key parameters to be examined that show the health of society when they come to eliminate the disease. |
| first_indexed | 2024-04-13T22:03:18Z |
| format | Article |
| id | doaj.art-b681650d7f3b4401ab8d1953eda0f881 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-13T22:03:18Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-b681650d7f3b4401ab8d1953eda0f8812022-12-22T02:28:02ZengElsevierAlexandria Engineering Journal1110-01682022-06-0161647794791A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effectsD. Baleanu0M. Hassan Abadi1A. Jajarmi2K. Zarghami Vahid3J.J. Nieto4Department of Mathematics, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, Turkey; Institute of Space Sciences, P.O. Box, MG-23, R 76900 Magurele-Bucharest, Romania; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, TaiwanDepartment of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, IranDepartment of Electrical Engineering, University of Bojnord, P.O. Box, 94531-1339, Bojnord, Iran; Corresponding author.Islamic Azad University, Tehran Science and Research Branch, Tehran, IranInstituto de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainA generalized version of fractional models is introduced for the COVID-19 pandemic, including the effects of isolation and quarantine. First, the general structure of fractional derivatives and integrals is discussed; then the generalized fractional model is defined from which the stability results are derived. Meanwhile, a set of real clinical observations from China is considered to determine the parameters and compute the basic reproduction number, i.e., R0≈6.6361. Additionally, an efficient numerical technique is applied to simulate the new model and provide the associated numerical results. Based on these simulations, some figures and tables are presented, and the data of reported cases from China are compared with the numerical findings in both classical and fractional frameworks. Our comparative study indicates that a particular case of general fractional formula provides a better fit to the real data compared to the other classical and fractional models. There are also some other key parameters to be examined that show the health of society when they come to eliminate the disease.http://www.sciencedirect.com/science/article/pii/S111001682100702XFractional calculusGeneral fractional derivativeCOVID-19 pandemicIsolation and quarantine effectsStability analysisModified predictor–corrector method |
| spellingShingle | D. Baleanu M. Hassan Abadi A. Jajarmi K. Zarghami Vahid J.J. Nieto A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects Alexandria Engineering Journal Fractional calculus General fractional derivative COVID-19 pandemic Isolation and quarantine effects Stability analysis Modified predictor–corrector method |
| title | A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects |
| title_full | A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects |
| title_fullStr | A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects |
| title_full_unstemmed | A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects |
| title_short | A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects |
| title_sort | new comparative study on the general fractional model of covid 19 with isolation and quarantine effects |
| topic | Fractional calculus General fractional derivative COVID-19 pandemic Isolation and quarantine effects Stability analysis Modified predictor–corrector method |
| url | http://www.sciencedirect.com/science/article/pii/S111001682100702X |
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