Combining the current situation of Dairy cattle brucellosis in our country with Brucellosis own characteristics
and Considering the bacteria infection of the environment
the Dairy cattle brucellosis dynamical model was formulated with outer importing and excluding measures.The basic reproductive rate was calculated theoretically.The existence of equilibrium points and local stability were analyzed theoretically.By using the method of spectral radius and constructing appropriate Lyapunov functions
it draws the conclusion that the disease-free equilibrium and the unique endemic equilibrium are global asymptotic stability.
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