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

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-[Formula: see text]-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 wild [Formula: see text] are also given. In addition, the sufficient conditions for the extinction and persistence of the wild [Formula: see text] in 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 [Formula: see text], and the efficiency of population replacement strategy in controlling wild populations is higher than that of population suppression strategy under the same release conditions.