Title of article :
A Dynamic Model of Human and Livestock Tuberculosis Spread and Control in Urumqi, Xinjiang, China
Author/Authors :
Liu, Shan Department of Public Health - Xinjiang Medical University - Urumqi, China , Li, Aiqiao Urumqi Animal Disease Control and Diagnosis Center - Urumqi, China , Feng, Xiaomei Department of Mathematics - Yuncheng University - Yuncheng, China , Zhang, Xueliang Department of Medical Engineering and Technology - Xinjiang Medical University - Urumqi, China , Wang, Kai Department of Medical Engineering and Technology - Xinjiang Medical University - Urumqi, China
Abstract :
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.
Keywords :
China , Urumqi , Human , Tuberculosis
Journal title :
Computational and Mathematical Methods in Medicine
