Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease
In this article, the Caputo fractional order model with low risk individuals of the tuberculosis is proposed. We investigate a qualitative analysis of the epidemic model via positivity, existence and uniqueness, stability and threshold quantity. Conducting a sensitivity analysis and examining the dy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/118314/ http://psasir.upm.edu.my/id/eprint/118314/1/118314.pdf |
| _version_ | 1848867486351491072 |
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| author | Nik Long, Nik Mohd Asri Nawaz, Rashid Shohaimi, Shamarina |
| author_facet | Nik Long, Nik Mohd Asri Nawaz, Rashid Shohaimi, Shamarina |
| author_sort | Nik Long, Nik Mohd Asri |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this article, the Caputo fractional order model with low risk individuals of the tuberculosis is proposed. We investigate a qualitative analysis of the epidemic model via positivity, existence and uniqueness, stability and threshold quantity. Conducting a sensitivity analysis and examining the dynamics of threshold parameters enable the assessment of the efficacy of preventive measures, prediction of future outbreaks, and the formulation of potential strategies for disease control. Numerical computations are executed using the Laplace Adomian decomposition method. The findings imply that the increment of low risk individuals can mitigate the prevalence and impact of tuberculosis on the human population in the respective region. |
| first_indexed | 2025-11-15T14:37:16Z |
| format | Article |
| id | upm-118314 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:37:16Z |
| publishDate | 2024 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1183142025-07-07T04:10:00Z http://psasir.upm.edu.my/id/eprint/118314/ Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease Nik Long, Nik Mohd Asri Nawaz, Rashid Shohaimi, Shamarina In this article, the Caputo fractional order model with low risk individuals of the tuberculosis is proposed. We investigate a qualitative analysis of the epidemic model via positivity, existence and uniqueness, stability and threshold quantity. Conducting a sensitivity analysis and examining the dynamics of threshold parameters enable the assessment of the efficacy of preventive measures, prediction of future outbreaks, and the formulation of potential strategies for disease control. Numerical computations are executed using the Laplace Adomian decomposition method. The findings imply that the increment of low risk individuals can mitigate the prevalence and impact of tuberculosis on the human population in the respective region. Universiti Putra Malaysia 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/118314/1/118314.pdf Nik Long, Nik Mohd Asri and Nawaz, Rashid and Shohaimi, Shamarina (2024) Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease. Malaysian Journal of Mathematical Sciences, 18 (4). pp. 919-947. ISSN 1823-8343 https://mjms.upm.edu.my/lihatmakalah.php?kod=2024/December/18/4/919-947 10.47836/mjms.18.4.14 |
| spellingShingle | Nik Long, Nik Mohd Asri Nawaz, Rashid Shohaimi, Shamarina Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| title | Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| title_full | Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| title_fullStr | Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| title_full_unstemmed | Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| title_short | Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| title_sort | caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease |
| url | http://psasir.upm.edu.my/id/eprint/118314/ http://psasir.upm.edu.my/id/eprint/118314/ http://psasir.upm.edu.my/id/eprint/118314/ http://psasir.upm.edu.my/id/eprint/118314/1/118314.pdf |