Dynamic Study on the Influence of Bovine Tuberculosis on the Transmission of Tuberculosis in Population.

In order to explore the impact of bovine tuberculosis on the transmission of human pulmonary tuberculosis, according to the transmission characteristics of tuberculosis and its incidence characteristics, a SEIR tuberculosis kinetic model including bovine, high-risk groups and low-risk groups is established, and the basic reproduction number of the model is calculated and the local stability of the disease-free equilibrium point when R₀ < 1 is proved and the consistent persistence of the model when R₀ >1 is discussed. The role of slaughter infected bovine is considered in the model. The data of sick bovine in the model is fitted with the data of bovine that are positive for tuberculosis in Urumqi from 2007 to 2014 using the nonlinear least squares method, and the bovine tuberculosis under different slaughter ratios is calculated. The control reproduction number is given. Through numerical simulation, it is obtained that the incidence of tuberculosis in the population can be effectively reduced by controlling the transmission rate of tuberculosis from bovine to human β_NH; the impact of the slaughter rate of sick bovine on the incidence of population is discussed. The higher the slaughter rate is, the lower the population incidence is and the larger the proportion of high-risk groups is, the higher the population incidence is. [ABSTRACT FROM AUTHOR]