The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia

Tuberculosis or known as TB is an airborne disease that exists in Malaysia caused by Mycobacterium Tuberculosis. Despite that, TB infection is curable with early diagnosis and treatment. The disease can be prevented through Bacillus Calmette-Guérin (BCG) vaccine, which is given among infants at birt...

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Published in:Malaysian Journal of Fundamental and Applied Sciences
Main Author: Tamhaji N.H.; Hamdan N.I.
Format: Article
Language:English
Published: Penerbit UTM Press 2023
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180072826&doi=10.11113%2fmjfas.v19n6.3063&partnerID=40&md5=9a438c2896c3ef393481ae73f7d38eda
id 2-s2.0-85180072826
spelling 2-s2.0-85180072826
Tamhaji N.H.; Hamdan N.I.
The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
2023
Malaysian Journal of Fundamental and Applied Sciences
19
6
10.11113/mjfas.v19n6.3063
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180072826&doi=10.11113%2fmjfas.v19n6.3063&partnerID=40&md5=9a438c2896c3ef393481ae73f7d38eda
Tuberculosis or known as TB is an airborne disease that exists in Malaysia caused by Mycobacterium Tuberculosis. Despite that, TB infection is curable with early diagnosis and treatment. The disease can be prevented through Bacillus Calmette-Guérin (BCG) vaccine, which is given among infants at birth. Numerous mathematical models on infectious diseases have been formulated in earlier studies since it is crucial to comprehend infectious disease transmission patterns and predict future outcomes. However, there is minimal study on the dynamics of TB transmission, particularly in Malaysia concerning immigration. Hence, this study aims to formulate a mathematical BCG-vaccinated, susceptible, exposed, infected, and recovered (BSEIR) model for TB infection in Malaysia by considering the immigration parameter. The model parameters are obtained from the literature and some with reported data in 2013 as initial value for the simulation using MAPLE software. The obtained results revealed that the basic reproduction number, R0 for the model is more than one. The graphical plot shows that the BSEIR model with immigration demonstrates a rise in TB-infected cases. The best strategy to lessen the number of infected individuals in Malaysia is by increasing the transmission rate and recovery rate. Additionally, the local stability analysis on the diseases-free equilibrium point and sensitivity analysis of its parameter is also provided and discussed. To conclude, a proper screening test should be mandated by the authorities before permitting new immigrants and refugees into Malaysia. © 2023 The Author(s).
Penerbit UTM Press
2289599X
English
Article
All Open Access; Gold Open Access
author Tamhaji N.H.; Hamdan N.I.
spellingShingle Tamhaji N.H.; Hamdan N.I.
The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
author_facet Tamhaji N.H.; Hamdan N.I.
author_sort Tamhaji N.H.; Hamdan N.I.
title The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
title_short The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
title_full The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
title_fullStr The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
title_full_unstemmed The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
title_sort The Dynamics of Tuberculosis through BSEIR Model with Immigration in Malaysia
publishDate 2023
container_title Malaysian Journal of Fundamental and Applied Sciences
container_volume 19
container_issue 6
doi_str_mv 10.11113/mjfas.v19n6.3063
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180072826&doi=10.11113%2fmjfas.v19n6.3063&partnerID=40&md5=9a438c2896c3ef393481ae73f7d38eda
description Tuberculosis or known as TB is an airborne disease that exists in Malaysia caused by Mycobacterium Tuberculosis. Despite that, TB infection is curable with early diagnosis and treatment. The disease can be prevented through Bacillus Calmette-Guérin (BCG) vaccine, which is given among infants at birth. Numerous mathematical models on infectious diseases have been formulated in earlier studies since it is crucial to comprehend infectious disease transmission patterns and predict future outcomes. However, there is minimal study on the dynamics of TB transmission, particularly in Malaysia concerning immigration. Hence, this study aims to formulate a mathematical BCG-vaccinated, susceptible, exposed, infected, and recovered (BSEIR) model for TB infection in Malaysia by considering the immigration parameter. The model parameters are obtained from the literature and some with reported data in 2013 as initial value for the simulation using MAPLE software. The obtained results revealed that the basic reproduction number, R0 for the model is more than one. The graphical plot shows that the BSEIR model with immigration demonstrates a rise in TB-infected cases. The best strategy to lessen the number of infected individuals in Malaysia is by increasing the transmission rate and recovery rate. Additionally, the local stability analysis on the diseases-free equilibrium point and sensitivity analysis of its parameter is also provided and discussed. To conclude, a proper screening test should be mandated by the authorities before permitting new immigrants and refugees into Malaysia. © 2023 The Author(s).
publisher Penerbit UTM Press
issn 2289599X
language English
format Article
accesstype All Open Access; Gold Open Access
record_format scopus
collection Scopus
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