On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model
In this paper, we analyze the novel type of COVID-19 caused by the Omicron virus under a new operator of fractional order modified by Caputo–Fabrizio. The whole compartment is chosen in the sense of the said operator. For simplicity, the model is distributed into six agents along with the inclusion...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/9/517 |
| _version_ | 1797488196307648512 |
|---|---|
| author | Kholoud Saad Albalawi Ibtehal Alazman |
| author_facet | Kholoud Saad Albalawi Ibtehal Alazman |
| author_sort | Kholoud Saad Albalawi |
| collection | DOAJ |
| description | In this paper, we analyze the novel type of COVID-19 caused by the Omicron virus under a new operator of fractional order modified by Caputo–Fabrizio. The whole compartment is chosen in the sense of the said operator. For simplicity, the model is distributed into six agents along with the inclusion of the Omicron virus infection agent. The proposed fractional order model is checked for fixed points with the help of fixed point theory. The series solution is carried out by the technique of the Laplace Adomian decomposition technique. The compartments of the proposed problem are simulated for graphical presentation in view of the said technique. The numerical simulation results are established at different fractional orders along with the comparison of integer orders. This consideration will also show the behavior of the Omicron dynamics in human life and will be essential for its control and future prediction at various time durations. The sensitivity of different parameters is also checked graphically. |
| first_indexed | 2024-03-09T23:59:34Z |
| format | Article |
| id | doaj.art-ab52efbf9fce4eae8caf6127eb9b6f62 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T23:59:34Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-ab52efbf9fce4eae8caf6127eb9b6f622023-11-23T16:20:00ZengMDPI AGFractal and Fractional2504-31102022-09-016951710.3390/fractalfract6090517On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional ModelKholoud Saad Albalawi0Ibtehal Alazman1Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi ArabiaIn this paper, we analyze the novel type of COVID-19 caused by the Omicron virus under a new operator of fractional order modified by Caputo–Fabrizio. The whole compartment is chosen in the sense of the said operator. For simplicity, the model is distributed into six agents along with the inclusion of the Omicron virus infection agent. The proposed fractional order model is checked for fixed points with the help of fixed point theory. The series solution is carried out by the technique of the Laplace Adomian decomposition technique. The compartments of the proposed problem are simulated for graphical presentation in view of the said technique. The numerical simulation results are established at different fractional orders along with the comparison of integer orders. This consideration will also show the behavior of the Omicron dynamics in human life and will be essential for its control and future prediction at various time durations. The sensitivity of different parameters is also checked graphically.https://www.mdpi.com/2504-3110/6/9/517modified Caputo–Fabrizio fractional derivativefractional mathematical model Omicronqualitative analysisLaplace Adomian technique |
| spellingShingle | Kholoud Saad Albalawi Ibtehal Alazman On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model Fractal and Fractional modified Caputo–Fabrizio fractional derivative fractional mathematical model Omicron qualitative analysis Laplace Adomian technique |
| title | On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model |
| title_full | On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model |
| title_fullStr | On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model |
| title_full_unstemmed | On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model |
| title_short | On Study of Modified Caputo–Fabrizio Omicron Type COVID-19 Fractional Model |
| title_sort | on study of modified caputo fabrizio omicron type covid 19 fractional model |
| topic | modified Caputo–Fabrizio fractional derivative fractional mathematical model Omicron qualitative analysis Laplace Adomian technique |
| url | https://www.mdpi.com/2504-3110/6/9/517 |
| work_keys_str_mv | AT kholoudsaadalbalawi onstudyofmodifiedcaputofabrizioomicrontypecovid19fractionalmodel AT ibtehalalazman onstudyofmodifiedcaputofabrizioomicrontypecovid19fractionalmodel |