Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency
Spread of tuberculosis (TB) due to the immigration from somedeveloping countries with high TB incidence to developed countriesposes an increasing challenge in the global TB control. Here asimple compartmental TB model with constant immigration, early andlate latency is developed in order to investig...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.695 |
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| _version_ | 1832590175903940608 |
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| author | Hongbin Guo Jianhong Wu |
| author_facet | Hongbin Guo Jianhong Wu |
| author_sort | Hongbin Guo |
| collection | DOAJ |
| description | Spread of tuberculosis (TB) due to the immigration from somedeveloping countries with high TB incidence to developed countriesposes an increasing challenge in the global TB control. Here asimple compartmental TB model with constant immigration, early andlate latency is developed in order to investigate the impact of newimmigrants with latent TB on the overall TB incidence, and tocompare the difference contributed by different proportions oflatently-infected new immigrants with high or low risk to developactive TB shortly after arrival. The global dynamics of the systemis completely classified, numerical simulations are carried out fordifferent scenarios, and potential applications to public healthpolicy are discussed. |
| format | Article |
| id | doaj-art-2d490349f3c441af9e5c6ead3f33c183 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2d490349f3c441af9e5c6ead3f33c1832025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018369570910.3934/mbe.2011.8.695Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latencyHongbin Guo0Jianhong Wu1Centre for Disease Modeling, Department of Mathematics and Statistics, York University, 4700 Keele Street Toronto, ON, M3J 1P3Centre for Disease Modeling, Department of Mathematics and Statistics, York University, 4700 Keele Street Toronto, ON, M3J 1P3Spread of tuberculosis (TB) due to the immigration from somedeveloping countries with high TB incidence to developed countriesposes an increasing challenge in the global TB control. Here asimple compartmental TB model with constant immigration, early andlate latency is developed in order to investigate the impact of newimmigrants with latent TB on the overall TB incidence, and tocompare the difference contributed by different proportions oflatently-infected new immigrants with high or low risk to developactive TB shortly after arrival. The global dynamics of the systemis completely classified, numerical simulations are carried out fordifferent scenarios, and potential applications to public healthpolicy are discussed.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.695lyapunov functiontuberculosisimmigrationcompartmental modelincidence ratelatent tb infection (ltbi).global stability |
| spellingShingle | Hongbin Guo Jianhong Wu Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency Mathematical Biosciences and Engineering lyapunov function tuberculosis immigration compartmental model incidence rate latent tb infection (ltbi). global stability |
| title | Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency |
| title_full | Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency |
| title_fullStr | Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency |
| title_full_unstemmed | Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency |
| title_short | Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency |
| title_sort | persistent high incidence of tuberculosis among immigrants in a low incidence country impact of immigrants with early or late latency |
| topic | lyapunov function tuberculosis immigration compartmental model incidence rate latent tb infection (ltbi). global stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.695 |
| work_keys_str_mv | AT hongbinguo persistenthighincidenceoftuberculosisamongimmigrantsinalowincidencecountryimpactofimmigrantswithearlyorlatelatency AT jianhongwu persistenthighincidenceoftuberculosisamongimmigrantsinalowincidencecountryimpactofimmigrantswithearlyorlatelatency |