Abstract
Citrus Huanglongbing (HLB) epidemic diseases is a destructive threat to the citrus industry worldwide. In this paper, a stochastic epidemic model is proposed for the transmission of Huanglongbing in scenarios between Asian citrus psyllid and the citrus trees host. The influence of insecticide resistance is considered and the dynamical properties of the new model are mathematically analyzed. It is proved that the model is well-posed by obtaining the existence of a single global positive solution. Further, when R 2 > 1, weak persistence in the mean is obtained by developing a suitable Lyapunov function and sufficient criteria R 1 < 1 is derived for the extinction of the disease. Moreover, the analysis of stochastic optimality is used, and a proper strategy is studied to provide a theoretical basis for the prevention and control of HLB. Numerical simulations and examples are carried out to verify the main theoretical results.
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