UPM Institutional Repository

Caputo fractional differential equations for low–risk individuals of the tuberculosis transmission disease


Citation

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

Abstract

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.


Download File

[img] Text
118314.pdf - Published Version

Download (3MB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.47836/mjms.18.4.14
Publisher: Universiti Putra Malaysia
Keywords: Tuberculosis; Stability analysis; Laplace Adomian decomposition method.
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 07 Jul 2025 04:10
Last Modified: 07 Jul 2025 04:10
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.18.4.14
URI: http://psasir.upm.edu.my/id/eprint/118314
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item