期刊
MATHEMATICAL BIOSCIENCES AND ENGINEERING
卷 20, 期 1, 页码 1519-1537出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2023069
关键词
brucellosis; animal testing; saturated culling rate; stability; bifurcation
This paper investigates the impact of testing-culling measure on the transmission of animal brucellosis. By establishing a dynamic model and conducting theoretical analysis, it is found that this measure can induce complex transmission dynamics, which can help develop appropriate prevention and control measures.
Testing-culling is a very effective measure for the prevention and control of animal diseases. In this paper, based on sheep brucellosis control policies and animal testing characteristics and considering the limitation of culling resources, a dynamic model is established to study the impact of testing-culling measure. Theoretical analysis reveals that the model may have one or three positive equilibria. The equilibrium in the middle is always unstable, and the model shows saddle-node bifurcation, generalized Hopf bifurcation and Bogdanov-Takens bifurcation. Moreover, the theoretical results are verified via numerical analysis. These results reveal that testing and culling strategies can induce complex transmission dynamics that can help us develop appropriate prevention and control measures for animal brucellosis.
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