Bifurcation analysis of a sheep brucellosis model with testing and saturated culling rate

Bifurcation analysis of a sheep brucellosis model with testing and saturated culling rate

Blog Article

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 Pedal Assembly 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 leather-collar testing and culling strategies can induce complex transmission dynamics that can help us develop appropriate prevention and control measures for animal brucellosis.