Huanglongbing Model under the Control Strategy of Discontinuous Removal of Infected Trees

By using differential equations with discontinuous right-hand sides, a dynamic model for vector-borne infectious disease under the removal of infected trees was established after understanding transmission mechanism Huanglongbing (HLB) in citrus trees. Through calculation, basic reproductive number can be attained and properties are discussed. On this basis, existence global stability calculated equilibria verified. Moreover, it found that different I0 control strategy cannot change HLB disease. However, lower value I0, fewer HLB-infected trees, which provides theoretical basis controlling reducing expenditure.