A fractional mathematical model for assessing cancer risk due to smoking habits
This article presents and analyzes a mathematical model for smoking-related cancer that involves fractional-order derivative with seven different compartments. The model uses the ABC fractional derivative to describe the transmission dynamics of cancer caused by the smoking habit. We employed the Ad...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-07-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024020 |
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| author | Anil Chavada Nimisha Pathak Sagar R. Khirsariya |
| author_facet | Anil Chavada Nimisha Pathak Sagar R. Khirsariya |
| author_sort | Anil Chavada |
| collection | DOAJ |
| description | This article presents and analyzes a mathematical model for smoking-related cancer that involves fractional-order derivative with seven different compartments. The model uses the ABC fractional derivative to describe the transmission dynamics of cancer caused by the smoking habit. We employed the Adams-Bashforth-Moulton method to find the numerical and graphical results of the model and we achieved a good level of accuracy. The existence and uniqueness of the model solution were established using Banach's fixed-point theory. For stability, we investigated the steady state points and basic reproduction number of the system. Additionally, the model's stability was discussed using the Hyers-Ulam criterion. The two-dimensional (2D) and three-dimensional (3D) simulations were performed for the different compartments and for the various values of the fractional-order parameters. |
| format | Article |
| id | doaj-art-ae09cf7f55ea4414b9981bb166cbbdde |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-ae09cf7f55ea4414b9981bb166cbbdde2025-01-24T01:02:08ZengAIMS PressMathematical Modelling and Control2767-89462024-07-014324625910.3934/mmc.2024020A fractional mathematical model for assessing cancer risk due to smoking habitsAnil Chavada0Nimisha Pathak1Sagar R. Khirsariya2Department of Applied Mathematics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390001, Gujarat, IndiaDepartment of Applied Mathematics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390001, Gujarat, IndiaDepartment of Mathematics, Marwadi University, Rajkot 360003, Gujarat, IndiaThis article presents and analyzes a mathematical model for smoking-related cancer that involves fractional-order derivative with seven different compartments. The model uses the ABC fractional derivative to describe the transmission dynamics of cancer caused by the smoking habit. We employed the Adams-Bashforth-Moulton method to find the numerical and graphical results of the model and we achieved a good level of accuracy. The existence and uniqueness of the model solution were established using Banach's fixed-point theory. For stability, we investigated the steady state points and basic reproduction number of the system. Additionally, the model's stability was discussed using the Hyers-Ulam criterion. The two-dimensional (2D) and three-dimensional (3D) simulations were performed for the different compartments and for the various values of the fractional-order parameters.https://www.aimspress.com/article/doi/10.3934/mmc.2024020smoking-related cancer modelatangana-baleanu fractional derivativeadams-bashforth-moulton methodstability analysis |
| spellingShingle | Anil Chavada Nimisha Pathak Sagar R. Khirsariya A fractional mathematical model for assessing cancer risk due to smoking habits Mathematical Modelling and Control smoking-related cancer model atangana-baleanu fractional derivative adams-bashforth-moulton method stability analysis |
| title | A fractional mathematical model for assessing cancer risk due to smoking habits |
| title_full | A fractional mathematical model for assessing cancer risk due to smoking habits |
| title_fullStr | A fractional mathematical model for assessing cancer risk due to smoking habits |
| title_full_unstemmed | A fractional mathematical model for assessing cancer risk due to smoking habits |
| title_short | A fractional mathematical model for assessing cancer risk due to smoking habits |
| title_sort | fractional mathematical model for assessing cancer risk due to smoking habits |
| topic | smoking-related cancer model atangana-baleanu fractional derivative adams-bashforth-moulton method stability analysis |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024020 |
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