Threshold Dynamics of a Vector-Borne Epidemic Model for Huanglongbing with Impulsive Control

Abstract

In this paper, the basic reproduction number is calculated for Huanglongbing (HLB) model with impulses which is a vector-borne epidemic model with impulses. For controlling HLB, farmers’ experience is replanting of healthy plants and removing infected plants. To reflect the real world, we construct an impulsive control model which consider s replanting of healthy plants and removing infected plants at one fixed time. By analyzing the model, we conclude that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number R o < 1, and we prove that the HLB is perma nence if the basic reproduction number R o > 1 .