文档介绍：A Discrete Tuberculosis Model with Two
Different partments
Hui Cao Yicang Zhou
Department of Mathematics Department of Mathematics
Xi’an Jiaotong University Xi’an Jiaotong University
Xi’an, 710049, China Xi’an, 710049, China
caohui0103@ ******@.
Abstract—A discrete tuberculosis model with different infectious Discrete models are the good choice for the description of
compartments is formulated and studied. The basic reproduction the epidemic process. Most reported infection or illness
number, of the model is defined. The global stability of the incidence data are discrete in nature (., daily or weekly
disease-free equilibrium is proved if R < 1 . The existence of illness rates), and discrete-time models are appropriate to
0 analyze such data in a natural fashion[9]. For these reasons,
endemic equilibrium and the persistence of TB is established if there is increasing interest in discrete-time models for
>
R0 1 . The main attention is paid on the influence of the describing epidemics [4,5,7,8]. Zhou and Cao had discussed
infectivity proportion on the case number. The numerical discrete-time SEIR models with application to TB infection[12].
simulations show that the infection cases increase as p increase. We improve those models by further dividing the infectious
group into smear-partment, I1 ()t , and smear-
Keywords-Discr