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 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.

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Publication Details

Journal
Malaysian Journal of Mathematical Sciences
Published
2024-12-24
DOI
https://doi.org/10.47836/mjms.18.4.14
Citations
4
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.58
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article

Caputo Fractional Differential Equations for Low-risk Individuals of the Tuberculosis Transmission Disease

Shamarina Shohaimi, Rashid Nawaz, Nik Mohd Asri Nik Long
4 citations
Malaysian Journal of Mathematical Sciences
Fractional Differential Equations Solutions
1.58
article

Caputo Fractional Differential Equations for Low-risk Individuals of the Tuberculosis Transmission Disease

Shamarina Shohaimi, Rashid Nawaz, Nik Mohd Asri Nik Long
article en
4 citations

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.

Malaysian Journal of Mathematical SciencesVol. 18(4)
Universiti Putra Malaysia (MY)
Good health and well-being
Openalex Percentile: Top 17%
Fractional Differential Equations Solutions
1.58
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Caputo Fractional Differential Equations for Low-risk Individuals of the Tuberculosis Transmission Disease — Shamarina Shohaimi, Rashid Nawaz, et al. · Malaysian Journal of Mathematical Sciences (2024) | TGRS Research Map | TGRS