Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator
Abstract In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model. The estimated basic reduction number for this dataset is R 0 ≈ 2.2020 $...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-08-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02881-w |
| _version_ | 1818521303874797568 |
|---|---|
| author | Fatmawati Muhammad Altaf Khan Cicik Alfiniyah Ebraheem Alzahrani |
| author_facet | Fatmawati Muhammad Altaf Khan Cicik Alfiniyah Ebraheem Alzahrani |
| author_sort | Fatmawati |
| collection | DOAJ |
| description | Abstract In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model. The estimated basic reduction number for this dataset is R 0 ≈ 2.2020 $\mathcal{R}_{0}\approx2.2020$ . We briefly show the stability results of the model for the case when the basic reproduction number is R 0 < 1 $\mathcal{R}_{0} <1$ . We apply the fractal-fractional operator in the framework of Caputo–Fabrizio to the model and present its numerical solution by using a novel approach. The parameter values estimated for the model are used to compare with fractal-fractional operator, and we suggest that the fractal-fractional operator provides the best fitting for real cases of dengue infection when varying the values of both operators’ orders. We suggest some more graphical illustration for the model variables with various orders of fractal and fractional. |
| first_indexed | 2024-12-11T01:49:14Z |
| format | Article |
| id | doaj.art-f44cb9b62ec24e989aca5d3fe70e229b |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-11T01:49:14Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-f44cb9b62ec24e989aca5d3fe70e229b2022-12-22T01:24:49ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020112310.1186/s13662-020-02881-wAnalysis of dengue model with fractal-fractional Caputo–Fabrizio operatorFatmawati0Muhammad Altaf Khan1Cicik Alfiniyah2Ebraheem Alzahrani3Department of Mathematics, Faculty of Science and Technology, Universitas AirlanggaInformetrics Research Group, Ton Duc Thang UniversityDepartment of Mathematics, Faculty of Science and Technology, Universitas AirlanggaDepartment of Mathematics, Faculty of Science, King Abdulaziz UniversityAbstract In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model. The estimated basic reduction number for this dataset is R 0 ≈ 2.2020 $\mathcal{R}_{0}\approx2.2020$ . We briefly show the stability results of the model for the case when the basic reproduction number is R 0 < 1 $\mathcal{R}_{0} <1$ . We apply the fractal-fractional operator in the framework of Caputo–Fabrizio to the model and present its numerical solution by using a novel approach. The parameter values estimated for the model are used to compare with fractal-fractional operator, and we suggest that the fractal-fractional operator provides the best fitting for real cases of dengue infection when varying the values of both operators’ orders. We suggest some more graphical illustration for the model variables with various orders of fractal and fractional.http://link.springer.com/article/10.1186/s13662-020-02881-wFractal-fractionalCaputo–Fabrizio operatorDengue modelReal casesParameter estimates |
| spellingShingle | Fatmawati Muhammad Altaf Khan Cicik Alfiniyah Ebraheem Alzahrani Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator Advances in Difference Equations Fractal-fractional Caputo–Fabrizio operator Dengue model Real cases Parameter estimates |
| title | Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator |
| title_full | Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator |
| title_fullStr | Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator |
| title_full_unstemmed | Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator |
| title_short | Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator |
| title_sort | analysis of dengue model with fractal fractional caputo fabrizio operator |
| topic | Fractal-fractional Caputo–Fabrizio operator Dengue model Real cases Parameter estimates |
| url | http://link.springer.com/article/10.1186/s13662-020-02881-w |
| work_keys_str_mv | AT fatmawati analysisofdenguemodelwithfractalfractionalcaputofabriziooperator AT muhammadaltafkhan analysisofdenguemodelwithfractalfractionalcaputofabriziooperator AT cicikalfiniyah analysisofdenguemodelwithfractalfractionalcaputofabriziooperator AT ebraheemalzahrani analysisofdenguemodelwithfractalfractionalcaputofabriziooperator |