Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)

Tuberculosis (TB) is a serious global health threat that is caused by the bacterium Mycobacterium tuberculosis, is extremely infectious, and has a high mortality rate. In this paper, we developed a model of TB infection to predict the impact of saturated recovery. The existence of equilibrium and it...

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Autores principales:	Fatima Sulayman, Farah Aini Abdullah
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi-Wiley 2021
Materias:	Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/b04091ea7ba2482793f138a47cf3af03
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spelling	oai:doaj.org-article:b04091ea7ba2482793f138a47cf3af032021-11-22T01:09:44ZAnalysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)1099-052610.1155/2021/1805651https://doaj.org/article/b04091ea7ba2482793f138a47cf3af032021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1805651https://doaj.org/toc/1099-0526Tuberculosis (TB) is a serious global health threat that is caused by the bacterium Mycobacterium tuberculosis, is extremely infectious, and has a high mortality rate. In this paper, we developed a model of TB infection to predict the impact of saturated recovery. The existence of equilibrium and its stability has been investigated based on the effective reproduction number RC. The model displays interesting dynamics, including backward bifurcation and Hopf bifurcation, which further results in the stable disease-free and stable endemic equilibria to be coexisting. Bifurcation analysis demonstrates that the saturation parameter is accountable for the phenomenon of backward bifurcation. We derive a condition that guarantees that the model is globally asymptotically stable using the Lyapunov function approach to global stability. The numerical simulation also reveals that the extent of saturation of TB infection is the mechanism that is fuelling TB disease in the population.Fatima SulaymanFarah Aini AbdullahHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 Fatima Sulayman Farah Aini Abdullah Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)
description	Tuberculosis (TB) is a serious global health threat that is caused by the bacterium Mycobacterium tuberculosis, is extremely infectious, and has a high mortality rate. In this paper, we developed a model of TB infection to predict the impact of saturated recovery. The existence of equilibrium and its stability has been investigated based on the effective reproduction number RC. The model displays interesting dynamics, including backward bifurcation and Hopf bifurcation, which further results in the stable disease-free and stable endemic equilibria to be coexisting. Bifurcation analysis demonstrates that the saturation parameter is accountable for the phenomenon of backward bifurcation. We derive a condition that guarantees that the model is globally asymptotically stable using the Lyapunov function approach to global stability. The numerical simulation also reveals that the extent of saturation of TB infection is the mechanism that is fuelling TB disease in the population.
format	article
author	Fatima Sulayman Farah Aini Abdullah
author_facet	Fatima Sulayman Farah Aini Abdullah
author_sort	Fatima Sulayman
title	Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)
title_short	Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)
title_full	Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)
title_fullStr	Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)
title_full_unstemmed	Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)
title_sort	analysis of a tuberculosis infection model considering the influence of saturated recovery (treatment)
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/b04091ea7ba2482793f138a47cf3af03
work_keys_str_mv	AT fatimasulayman analysisofatuberculosisinfectionmodelconsideringtheinfluenceofsaturatedrecoverytreatment AT farahainiabdullah analysisofatuberculosisinfectionmodelconsideringtheinfluenceofsaturatedrecoverytreatment
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Analysis of a Tuberculosis Infection Model considering the Influence of Saturated Recovery (Treatment)

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