title: A mathematical study of a TB Model with treatment interruptions and two latent periods.
abstract: A TB transmission model which incorporates treatment interruptions and two latent periods is presented. The threshold parameter known as the control reproduction number and the equilibria for the model are determined, and the global asymptotical stabilities of the equilibria are studied by constructing the proper Lyapunov functions. The reproduction numbers and numerical simulations show that treatment of active TB cases always helps to control the TB epidemic, while treatment interruptions may have a negative, positive, or no effect on combating TB epidemic.
authors: School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China.
authors: Luju
authors: L
authors: Liu
authors: College of Science, China University of Petroleum, Qingdao, Shandong 266580, China.
authors: Yan
authors: Y
authors: Wang
mesh_terms: D000465:Algorithms; D000995:Antitubercular Agents / Q000627:therapeutic use; D050936:Basic Reproduction Number; D003198:Computer Simulation; D006801:Humans; D008490:Medical Informatics / Q000379:methods*; D008962:Models, Theoretical; D013997:Time Factors; D014376:Tuberculosis / Q000188:drug therapy* / Q000453:epidemiology* / Q000635:transmission
chemical_list: D000995:Antitubercular Agents