Abstract
For the prevention and control of brucellosis, it is important to investigate the mechanism of brucellosis transmission. Based on the charac- teristics of the spread of brucellosis, a susceptible-exposed-infectious-brucella (SEIB) delay dynamic model is proposed with the general incidence, elim- ination rate and shedding rate of pathogen. Under biologically motivated assumptions, it shows the uniqueness of the endemic equilibrium, and inves- tigates the global asymptotically stability of the disease-free equilibrium and the endemic equilibrium. The results suggest that the global stability of equi- libria depends entirely on the basic reproduction number R0 and time delay is harmless for the stability of equilibria. Finally, some specic examples and numerical simulations are used to illustrate the utilization of research results and reveal the biological signicance of hypothesis ( H7), which implies that the dynamics of brucellosis transmission depend largely on the development of the prevention and control strategies.
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