A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods

A TB transmission model which incorporates treatment interruptions and two latent periods is presented. The threshold parameter known as the control reproduction number and the equilibria for the model are determined, and the global asymptotical stabilities of the equilibria are studied by construct...

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Detalles Bibliográficos
Autores principales: Liu, Luju, Wang, Yan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055065/
https://www.ncbi.nlm.nih.gov/pubmed/24963343
http://dx.doi.org/10.1155/2014/932186
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author Liu, Luju
Wang, Yan
author_facet Liu, Luju
Wang, Yan
author_sort Liu, Luju
collection PubMed
description A TB transmission model which incorporates treatment interruptions and two latent periods is presented. The threshold parameter known as the control reproduction number and the equilibria for the model are determined, and the global asymptotical stabilities of the equilibria are studied by constructing the proper Lyapunov functions. The reproduction numbers and numerical simulations show that treatment of active TB cases always helps to control the TB epidemic, while treatment interruptions may have a negative, positive, or no effect on combating TB epidemic.
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spelling pubmed-40550652014-06-24 A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods Liu, Luju Wang, Yan Comput Math Methods Med Research Article A TB transmission model which incorporates treatment interruptions and two latent periods is presented. The threshold parameter known as the control reproduction number and the equilibria for the model are determined, and the global asymptotical stabilities of the equilibria are studied by constructing the proper Lyapunov functions. The reproduction numbers and numerical simulations show that treatment of active TB cases always helps to control the TB epidemic, while treatment interruptions may have a negative, positive, or no effect on combating TB epidemic. Hindawi Publishing Corporation 2014 2014-05-22 /pmc/articles/PMC4055065/ /pubmed/24963343 http://dx.doi.org/10.1155/2014/932186 Text en Copyright © 2014 L. Liu and Y. Wang. 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
Liu, Luju
Wang, Yan
A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods
title A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods
title_full A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods
title_fullStr A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods
title_full_unstemmed A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods
title_short A Mathematical Study of a TB Model with Treatment Interruptions and Two Latent Periods
title_sort mathematical study of a tb model with treatment interruptions and two latent periods
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055065/
https://www.ncbi.nlm.nih.gov/pubmed/24963343
http://dx.doi.org/10.1155/2014/932186
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