摘要：A predator-prey system with disease in the predator is investigated, where the
discrete delay 𝜏 is regarded as a parameter. Its dynamics are studied in terms of local
analysis and Hopf bifurcation analysis. By analyzing the associated characteristic
equation, it is found that Hopf bifurcation occurs when 𝜏 crosses some critical values.
Using the normal form theory and center manifold argument, the explicit formulae
which determine the stability, direction, and other properties of bifurcating periodic
solutions are derived.
