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In this paper,we study the dynamics of a perturbation system. Firstly, we consider the unperturbation system and give the types of the fixed points of the system by nullcline. Then we analysis the Dynamic behavior of the orbits around the fixed points. Further we study the dynamics of the perturbation system using the Melnikov methods, which possess some universality.doi:10.5539/mas.v3n1p187 fatcat:ne3gwwojijhzrmprxkajz57hri