Summary: We consider an SI model for pest management, with concerns about impulsive releases of infective pests and pesticides sprays. We prove that all solutions of
are uniformly ultimately bounded and there exist globally asymptotically stable periodic solutions of pest-extinction when
is satisfied, and a condition for permanence of system (1) is also obtained. It is concluded that the approach of combining impulsive infective releasing with impulsive pesticide spraying provides a reliable tactic basis for practical pest management.