title: The impact of migrant workers on the tuberculosis transmission: general models and a case study for China.
abstract: A tuberculosis (TB) transmission model involving migrant workers is proposed and investigated. The basic reproduction number R0 is calculated, and is shown to be a threshold parameter for the disease to persist or become extinct in the population. The existence and global attractivity of an endemic equilibrium, if R0 > 1, is also established under some technical conditions. A case study, based on the TB epidemiological and other statistical data in China, indicates that the disease spread can be controlled if effective measures are taken to reduce the reactivation rate of exposed/latent migrant workers. Impact of the migration rate and direction, as well as the duration of home visit stay, on the control of disease spread is also examined numerically.
authors: School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, China. lujuliu@gmail.com
authors: Luju
authors: L
authors: Liu
authors: Jianhong
authors: J
authors: Wu
authors: Xiao-Qiang
authors: XQ
authors: Zhao
mesh_terms: D002681:China / Q000453:epidemiology; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D018562:Disease Transmission, Infectious / Q000706:statistics & numerical data*; D004641:Emigration and Immigration / Q000706:statistics & numerical data*; D006801:Humans; D015994:Incidence; D015233:Models, Statistical; D016016:Proportional Hazards Models; D012307:Risk Factors; D014171:Transients and Migrants / Q000706:statistics & numerical data*; D014376:Tuberculosis / Q000453:epidemiology* / Q000635:transmission*