The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina
A tuberculosis (TB) transmission model involving migrant workers isproposed and investigated. The basic reproduction number$\mathcal{R}_{0}$ is calculated, and is shown to be a thresholdparameter for the disease to persist or become extinct in thepopulation. The existence and global attractivity of...
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AIMS Press
2012-09-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.785 |
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author | Luju Liu Jianhong Wu Xiao-Qiang Zhao |
author_facet | Luju Liu Jianhong Wu Xiao-Qiang Zhao |
author_sort | Luju Liu |
collection | DOAJ |
description | A tuberculosis (TB) transmission model involving migrant workers isproposed and investigated. The basic reproduction number$\mathcal{R}_{0}$ is calculated, and is shown to be a thresholdparameter for the disease to persist or become extinct in thepopulation. The existence and global attractivity of an endemicequilibrium, if $\mathcal{R}_{0}>1$, is also established under sometechnical conditions. A case study, based on the TB epidemiologicaland other statistical data in China, indicates that the diseasespread can be controlled if effective measures are taken to reducethe reactivation rate of exposed/latent migrant workers. Impact ofthe migration rate and direction, as well as the duration of homevisit stay, on the control of disease spread is also examinednumerically. |
format | Article |
id | doaj-art-430846252031495a9ee0b935384648a5 |
institution | Kabale University |
issn | 1551-0018 |
language | English |
publishDate | 2012-09-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj-art-430846252031495a9ee0b935384648a52025-01-24T02:07:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-09-019478580710.3934/mbe.2012.9.785The impact of migrant workers on the tuberculosis transmission: General models and a case study forChinaLuju Liu0Jianhong Wu1Xiao-Qiang Zhao2School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023A tuberculosis (TB) transmission model involving migrant workers isproposed and investigated. The basic reproduction number$\mathcal{R}_{0}$ is calculated, and is shown to be a thresholdparameter for the disease to persist or become extinct in thepopulation. The existence and global attractivity of an endemicequilibrium, if $\mathcal{R}_{0}>1$, is also established under sometechnical conditions. A case study, based on the TB epidemiologicaland other statistical data in China, indicates that the diseasespread can be controlled if effective measures are taken to reducethe reactivation rate of exposed/latent migrant workers. Impact ofthe migration rate and direction, as well as the duration of homevisit stay, on the control of disease spread is also examinednumerically.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.785global attractivity.migrant workersbasic reproduction numberuniform persistence |
spellingShingle | Luju Liu Jianhong Wu Xiao-Qiang Zhao The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina Mathematical Biosciences and Engineering global attractivity. migrant workers basic reproduction number uniform persistence |
title | The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina |
title_full | The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina |
title_fullStr | The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina |
title_full_unstemmed | The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina |
title_short | The impact of migrant workers on the tuberculosis transmission: General models and a case study forChina |
title_sort | impact of migrant workers on the tuberculosis transmission general models and a case study forchina |
topic | global attractivity. migrant workers basic reproduction number uniform persistence |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.785 |
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