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Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel
This article is published by IOP Publishing 2024 and is also available at https://doi.org/10.1088/1402-4896/ad51b0
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024
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| _version_ | 1867613133746470912 |
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| access_status_str | Open Access |
| author | Wireko, Fredrick A. Adu, Isaac K. Gyamfi, Kwame A. Asamoah, Joshua Kiddy K. |
| author2 | 0000-0002-7066-246X |
| author_browse | 0000-0002-7066-246X Adu, Isaac K. Asamoah, Joshua Kiddy K. Gyamfi, Kwame A. Wireko, Fredrick A. |
| author_facet | 0000-0002-7066-246X Wireko, Fredrick A. Adu, Isaac K. Gyamfi, Kwame A. Asamoah, Joshua Kiddy K. |
| author_sort | Wireko, Fredrick A. |
| collection | Thesis |
| description | This article is published by IOP Publishing 2024 and is also available at https://doi.org/10.1088/1402-4896/ad51b0 |
| format | Article |
| id | oai:ir.knust.edu.gh:123456789/15990 |
| institution | KNUST (Ghana) |
| language | English |
| last_indexed | 2026-06-10T12:31:18.486Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | IOP Publishing |
| publisherStr | IOP Publishing |
| record_format | dspace |
| source_str | KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| spelling | oai:ir.knust.edu.gh:123456789/15990 Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel Wireko, Fredrick A. Adu, Isaac K. Gyamfi, Kwame A. Asamoah, Joshua Kiddy K. 0000-0002-7066-246X This article is published by IOP Publishing 2024 and is also available at https://doi.org/10.1088/1402-4896/ad51b0 This work utilises a fractal-fractional operator to examine the dynamics of transmission of measles disease. The existence and uniqueness of the measles model have been thoroughly examined in the context of the fixed point theorem, specifically utilising the Atangana-Baleanu fractal and fractional operators. The model has been demonstrated to possess both Hyers-Ulam stability and Hyers-Ulam Rassias stability. Furthermore, a qualitative analysis of the model was performed, including examination of key parameters such as the fundamental reproduction number, the measles-free and measles-present equilibria, and assessment of global stability. This research has shown that the transmission of measles disease is affected by natural phenomena, as changes in the fractal-fractional order lead to changes in the disease dynamics. Furthermore, environmental contamination has been shown to play a significant role in the transmission of the measles disease. KNUST 2024-11-21T08:34:37Z 2024-11-21T08:34:37Z 2024-05 Article Phys. Scr. 99 (2024) 075025 https://doi.org/10.1088/1402-4896/ad51b0 https://ir.knust.edu.gh/handle/123456789/15990 en application/pdf IOP Publishing |
| spellingShingle | Wireko, Fredrick A. Adu, Isaac K. Gyamfi, Kwame A. Asamoah, Joshua Kiddy K. Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel |
| title | Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel |
| title_full | Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel |
| title_fullStr | Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel |
| title_full_unstemmed | Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel |
| title_short | Modelling the transmission behavior of measles disease considering contaminated environment through a fractal-fractional Mittag-Leffler kernel |
| title_sort | modelling the transmission behavior of measles disease considering contaminated environment through a fractal fractional mittag leffler kernel |
| url | https://doi.org/10.1088/1402-4896/ad51b0 https://ir.knust.edu.gh/handle/123456789/15990 |
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