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In this talk,we will give an analytical proof about the existence of Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting,where the existence of a Bogdanov-Takens singularity(cusp)of codimension 3 was shown in(J.Huang,Y.Gong and S.Ruan,Discrete Contin.