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

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 R0. Furthermore, we discuss the dynamical behaviors of the model. By epidemiological investigation of tuberculosis among humans and livestock from 2007 to 2014 in Urumqi,...

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Main Authors: Shan Liu, Aiqiao Li, Xiaomei Feng, Xueliang Zhang, Kai Wang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2016/3410320
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spelling doaj-e209e29185b74a0bb27ebe05a11623262020-11-25T00:47:08ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182016-01-01201610.1155/2016/34103203410320A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, ChinaShan Liu0Aiqiao Li1Xiaomei Feng2Xueliang Zhang3Kai Wang4Department of Public Health, Xinjiang Medical University, Urumqi 830011, ChinaUrumqi Animal Disease Control and Diagnosis Center, Urumqi 830063, ChinaDepartment of Mathematics, Yuncheng University, Yuncheng 044000, ChinaDepartment of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830011, ChinaDepartment of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830011, ChinaWe establish a dynamical model for tuberculosis of humans and cows. For the model, we firstly give the basic reproduction number R0. 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.http://dx.doi.org/10.1155/2016/3410320
collection DOAJ
language English
format Article
sources DOAJ
author Shan Liu
Aiqiao Li
Xiaomei Feng
Xueliang Zhang
Kai Wang
spellingShingle Shan Liu
Aiqiao Li
Xiaomei Feng
Xueliang Zhang
Kai Wang
A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
Computational and Mathematical Methods in Medicine
author_facet Shan Liu
Aiqiao Li
Xiaomei Feng
Xueliang Zhang
Kai Wang
author_sort Shan Liu
title 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_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_sort dynamic model of human and livestock tuberculosis spread and control in urumqi, xinjiang, china
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-670X
1748-6718
publishDate 2016-01-01
description We establish a dynamical model for tuberculosis of humans and cows. For the model, we firstly give the basic reproduction number R0. 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.
url http://dx.doi.org/10.1155/2016/3410320
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