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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Main Authors: Luju Liu, Jianhong Wu, Xiao-Qiang Zhao
Format: Article
Language:English
Published: AIMS Press 2012-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
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.
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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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