Abstract:
The implementation of detecting and killing measures plays an important role in the prevention, control and purification of animal epidemic diseases. This article is based on serological testing found that the number of infected animals as a basis for the detection behavior, time delay dynamics model is established for the analysis of test behavior influences the spreading of brucellosis. Firstly, the basic reproductive number
R0 is given by the local stability of the disease-free equilibrium, and it is proved that disease-free equilibrium is globally asymptotically stable. Then the existence of endemic equilibrium point and the persistence of the diseases are analyzed. Finally, through numerical simulation, it is found that periodic solutions will appear when the parameters meet certain conditions, indicating that detection behavior will lead to complex transmission dynamics behavior, which is unfavorable to the prevention and control of diseases.