A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China

We establish a dynamical model for tuberculosis of humans and cows. For the model, we firstly give the basic reproduction number R (0). Furthermore, we discuss the dynamical behaviors of the model. By epidemiological investigation of tuberculosis among humans and livestock from 2007 to 2014 in Urumq...

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Detalles Bibliográficos
Autores principales: Liu, Shan, Li, Aiqiao, Feng, Xiaomei, Zhang, Xueliang, Wang, Kai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4976259/
https://www.ncbi.nlm.nih.gov/pubmed/27525034
http://dx.doi.org/10.1155/2016/3410320
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author Liu, Shan
Li, Aiqiao
Feng, Xiaomei
Zhang, Xueliang
Wang, Kai
author_facet Liu, Shan
Li, Aiqiao
Feng, Xiaomei
Zhang, Xueliang
Wang, Kai
author_sort Liu, Shan
collection PubMed
description We establish a dynamical model for tuberculosis of humans and cows. For the model, we firstly give the basic reproduction number R (0). Furthermore, we discuss the dynamical behaviors of the model. By epidemiological investigation of tuberculosis among humans and livestock from 2007 to 2014 in Urumqi, Xinjiang, China, we estimate the parameters of the model and study the transmission trend of the disease in Urumqi, Xinjiang, China. The reproduction number in Urumqi for the model is estimated to be 0.1811 (95% confidence interval: 0.123–0.281). Finally, we perform some sensitivity analysis of several model parameters and give some useful comments on controlling the transmission of tuberculosis.
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spelling pubmed-49762592016-08-14 A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China Liu, Shan Li, Aiqiao Feng, Xiaomei Zhang, Xueliang Wang, Kai Comput Math Methods Med Research Article We establish a dynamical model for tuberculosis of humans and cows. For the model, we firstly give the basic reproduction number R (0). Furthermore, we discuss the dynamical behaviors of the model. By epidemiological investigation of tuberculosis among humans and livestock from 2007 to 2014 in Urumqi, Xinjiang, China, we estimate the parameters of the model and study the transmission trend of the disease in Urumqi, Xinjiang, China. The reproduction number in Urumqi for the model is estimated to be 0.1811 (95% confidence interval: 0.123–0.281). Finally, we perform some sensitivity analysis of several model parameters and give some useful comments on controlling the transmission of tuberculosis. Hindawi Publishing Corporation 2016 2016-07-25 /pmc/articles/PMC4976259/ /pubmed/27525034 http://dx.doi.org/10.1155/2016/3410320 Text en Copyright © 2016 Shan Liu et al. https://creativecommons.org/licenses/by/4.0/ 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, Shan
Li, Aiqiao
Feng, Xiaomei
Zhang, Xueliang
Wang, Kai
A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
title A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
title_full A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
title_fullStr A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
title_full_unstemmed A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
title_short A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
title_sort dynamic model of human and livestock tuberculosis spread and control in urumqi, xinjiang, china
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4976259/
https://www.ncbi.nlm.nih.gov/pubmed/27525034
http://dx.doi.org/10.1155/2016/3410320
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