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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Bibliographic Details
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
Description
Summary: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.
ISSN:1748-670X
1748-6718