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

Abstract

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-$N.lugens$-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 $N.lugens$ are also given. In addition, the sufficient conditions for the extinction and persistence of the wild $N.lugens$ 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 $N.lugens$, and the efficiency of population replacement strategy in controlling wild populations is higher than that of population suppression strategy under the same release conditions.

Keywords:

• Nilaparvata lugens
• wStri-Wolbachia
• cytoplasmic incompatibility
• periodic release
• global stability

Mathematics Subject Classifications:

• 00A71
• 92B05
• 34A37

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by National Natural Scientific Fund of China [Grant Number 12261018], Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province [No. 2023013], and the Project of High Level Creative Talents in Guizhou Province [Grant Number 20164035].