Abstract: An SEI model for pest management with releasing infective pests and spraying pesticides at different fixed moments is considered.Using the stroboscopic map,the exact periodic susceptible and exposed pest-eradication solution of the system is obtained.The pest-eradication periodic solution is globally attractive if that the amount of infective pests released periodically is larger than some critical value.When the amount of infective pests released is less than this critical value,the system is shown to be p...