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Mathematical Biosciences
Volume 340, 2021, 108674

Modeling and dynamics of physiological and behavioral resistance of Asian citrus psyllid

Shujing Gaoa, Jing Guoa, Yan Xub, Huaiping Zhuc

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou, China.

Abstract

The Asian citrus psyllid (ACP) survival in the presence of contact insecticides may be through physiological adaptations or by behaviorally avoiding. Curiously, although the first alternative is the object of frequent attention, the second was often neglected, but both may lead to insecticide resistance. In this paper, we characterize the growth dynamics of ACP population using a novel impulsive differential equation model to account for the effect of physiological and behavioral resistance, and investigate the threshold conditions for the extinction of ACP population. Furthermore, we discuss the optimal switching methods for insecticides based on two different criteria. Our numerical result suggests that ignoring both resistances or behavioral resistance would underestimate the transmission risk of Huanglongbing, whereas only considering behavioral resistance leads to an overestimation.

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