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In this paper, we formulate a population suppression model and a population replacement model with periodic impulsive releases of  Nilaparvata   lugens  infected with  wStri . The conditions for the stability of wild--eradication periodic solution of two systems are obtained by applying the  Floquet  theorem and comparison theorem. And the sufficient conditions for the persistence in the mean of wildare also given. In addition, the sufficient conditions for the extinction and persistence of the wildin the subsystem without  wLug  are also obtained. Finally, we give numerical analysis which shows that increasing the release amount or decreasing the release period are beneficial for controlling the wild, and the efficiency of population replacement strategy in controlling wild populations is higher than that of population suppression strategy under the same release conditions.

Modelling and analysis of periodic impulsive releases of the Nilaparvata lugens infected with wStri - Wolbachia