Modelling and stationary distribution of a stochastic citrus greening epidemic model with resistance

Modelling and stationary distribution of a stochastic citrus greening epidemic model with resistance

Blog Article

Citrus greening disease (also known as Huanglongbing (HLB)) is an invacare rollator 65650 parts insect-borne disease worldwide, and it is the greatest threat to the global citrus industry, with no resistant commercial citrus varieties and no curable chemicals.In this paper, a stochastic SEII-SI compartmental model for the spread of HLB between its vector (psyllids) and host (citrus trees) was considered.The effects of incubation and infectious periods and insecticides resistance were involved in the model.

The existence of a unique global positive solution was discussed.Sufficient criteria were analyzed and established for the persistence and extinction in the mean.By using suitable Lyapunov functions, a unique stationary distribution was proven to exist, for the stochastic model.

Model analysis indicated that increasing the intensity of the noises could benefit and accelerate the extinction of disease.However, insecticide selle chromag overture resistance could increase the risk of epidemic prevalence and be detrimental to disease control.Some numerical simulations were presented to validate the theoretical analysis.