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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2012-09-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.785 |
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| Summary: | 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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| ISSN: | 1551-0018 |