A fractional order co-infection model between malaria and filariasis epidemic
In this article, we investigate a mathematical malaria-filariasis co-infection model with the assistance of the non-integer order operator. Using the fractal-fractional operator in the Caputo-Fabrizio (CF) sense, it has been possible to understand the dynamical behaviour and complicatedness of the m...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2024.2314376 |
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| author | Parveen Kumar Ajay Kumar Sunil Kumar Dumitru Baleanu |
| author_facet | Parveen Kumar Ajay Kumar Sunil Kumar Dumitru Baleanu |
| author_sort | Parveen Kumar |
| collection | DOAJ |
| description | In this article, we investigate a mathematical malaria-filariasis co-infection model with the assistance of the non-integer order operator. Using the fractal-fractional operator in the Caputo-Fabrizio (CF) sense, it has been possible to understand the dynamical behaviour and complicatedness of the malaria-filariasis model. An investigation of the existence and uniqueness of the solution employs fixed-point theory. Ulam-Hyers stability helps examine the stability analysis of the proposed co-infection model. The malaria-filariasis model has been investigated using the Toufik-Atanagana (TA), a sophisticated numerical method for these biological co-infection models. With the help of numerical procedures, we provide the approximate solutions for the proposed model. A variety of fractal dimension and fractional order options are utilized for the presentation of the results. When we adjust sensitive parameters like τ and γ, the graphical representation illustrates the system’s behaviour and identifies suitable parameter ranges for solutions. In addition, we evaluate the model along with the regarded operators and various β1 values using an exceptional graphical representation. |
| format | Article |
| id | doaj-art-f309d6732abe45eb9370bcc13bfd0be4 |
| institution | Kabale University |
| issn | 2576-5299 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj-art-f309d6732abe45eb9370bcc13bfd0be42024-12-17T08:04:46ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992024-12-0131113215310.1080/25765299.2024.2314376A fractional order co-infection model between malaria and filariasis epidemicParveen Kumar0Ajay Kumar1Sunil Kumar2Dumitru Baleanu3Department of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand, IndiaDepartment of Mathematics, JECRC University, Jaipur, Rajasthan, IndiaDepartment of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand, IndiaDepartment of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, TurkeyIn this article, we investigate a mathematical malaria-filariasis co-infection model with the assistance of the non-integer order operator. Using the fractal-fractional operator in the Caputo-Fabrizio (CF) sense, it has been possible to understand the dynamical behaviour and complicatedness of the malaria-filariasis model. An investigation of the existence and uniqueness of the solution employs fixed-point theory. Ulam-Hyers stability helps examine the stability analysis of the proposed co-infection model. The malaria-filariasis model has been investigated using the Toufik-Atanagana (TA), a sophisticated numerical method for these biological co-infection models. With the help of numerical procedures, we provide the approximate solutions for the proposed model. A variety of fractal dimension and fractional order options are utilized for the presentation of the results. When we adjust sensitive parameters like τ and γ, the graphical representation illustrates the system’s behaviour and identifies suitable parameter ranges for solutions. In addition, we evaluate the model along with the regarded operators and various β1 values using an exceptional graphical representation.https://www.tandfonline.com/doi/10.1080/25765299.2024.2314376Existence and uniquenessfractal-fractional derivativeMalaria-filariasis modelnumerical schemeUlam-Hyers stability |
| spellingShingle | Parveen Kumar Ajay Kumar Sunil Kumar Dumitru Baleanu A fractional order co-infection model between malaria and filariasis epidemic Arab Journal of Basic and Applied Sciences Existence and uniqueness fractal-fractional derivative Malaria-filariasis model numerical scheme Ulam-Hyers stability |
| title | A fractional order co-infection model between malaria and filariasis epidemic |
| title_full | A fractional order co-infection model between malaria and filariasis epidemic |
| title_fullStr | A fractional order co-infection model between malaria and filariasis epidemic |
| title_full_unstemmed | A fractional order co-infection model between malaria and filariasis epidemic |
| title_short | A fractional order co-infection model between malaria and filariasis epidemic |
| title_sort | fractional order co infection model between malaria and filariasis epidemic |
| topic | Existence and uniqueness fractal-fractional derivative Malaria-filariasis model numerical scheme Ulam-Hyers stability |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2024.2314376 |
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