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Modeling the Spread of Tuberculosis in Semiclosed Communities
We address the problem of long-term dynamics of tuberculosis (TB) and latent tuberculosis (LTB) in semiclosed communities. These communities are congregate settings with the potential for sustained daily contact for weeks, months, and even years between their members. Basic examples of these communi...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3665242/ https://www.ncbi.nlm.nih.gov/pubmed/23762194 http://dx.doi.org/10.1155/2013/648291 |
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author | Herrera, Mauricio Bosch, Paul Nájera, Manuel Aguilera, Ximena |
author_facet | Herrera, Mauricio Bosch, Paul Nájera, Manuel Aguilera, Ximena |
author_sort | Herrera, Mauricio |
collection | PubMed |
description | We address the problem of long-term dynamics of tuberculosis (TB) and latent tuberculosis (LTB) in semiclosed communities. These communities are congregate settings with the potential for sustained daily contact for weeks, months, and even years between their members. Basic examples of these communities are prisons, but certain urban/rural communities, some schools, among others could possibly fit well into this definition. These communities present a sort of ideal conditions for TB spread. In order to describe key relevant dynamics of the disease in these communities, we consider a five compartments SEIR model with five possible routes toward TB infection: primary infection after a contact with infected and infectious individuals (fast TB), endogenous reactivation after a period of latency (slow TB), relapse by natural causes after a cure, exogenous reinfection of latently infected, and exogenous reinfection of recovered individuals. We discuss the possible existence of multiple endemic equilibrium states and the role that the two types of exogenous reinfections in the long-term dynamics of the disease could play. |
format | Online Article Text |
id | pubmed-3665242 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-36652422013-06-12 Modeling the Spread of Tuberculosis in Semiclosed Communities Herrera, Mauricio Bosch, Paul Nájera, Manuel Aguilera, Ximena Comput Math Methods Med Research Article We address the problem of long-term dynamics of tuberculosis (TB) and latent tuberculosis (LTB) in semiclosed communities. These communities are congregate settings with the potential for sustained daily contact for weeks, months, and even years between their members. Basic examples of these communities are prisons, but certain urban/rural communities, some schools, among others could possibly fit well into this definition. These communities present a sort of ideal conditions for TB spread. In order to describe key relevant dynamics of the disease in these communities, we consider a five compartments SEIR model with five possible routes toward TB infection: primary infection after a contact with infected and infectious individuals (fast TB), endogenous reactivation after a period of latency (slow TB), relapse by natural causes after a cure, exogenous reinfection of latently infected, and exogenous reinfection of recovered individuals. We discuss the possible existence of multiple endemic equilibrium states and the role that the two types of exogenous reinfections in the long-term dynamics of the disease could play. Hindawi Publishing Corporation 2013 2013-05-09 /pmc/articles/PMC3665242/ /pubmed/23762194 http://dx.doi.org/10.1155/2013/648291 Text en Copyright © 2013 Mauricio Herrera et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Herrera, Mauricio Bosch, Paul Nájera, Manuel Aguilera, Ximena Modeling the Spread of Tuberculosis in Semiclosed Communities |
title | Modeling the Spread of Tuberculosis in Semiclosed Communities |
title_full | Modeling the Spread of Tuberculosis in Semiclosed Communities |
title_fullStr | Modeling the Spread of Tuberculosis in Semiclosed Communities |
title_full_unstemmed | Modeling the Spread of Tuberculosis in Semiclosed Communities |
title_short | Modeling the Spread of Tuberculosis in Semiclosed Communities |
title_sort | modeling the spread of tuberculosis in semiclosed communities |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3665242/ https://www.ncbi.nlm.nih.gov/pubmed/23762194 http://dx.doi.org/10.1155/2013/648291 |
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