Mathematical modeling of citrus groves infected by huanglongbing

Abstract

Huanglongbing (citrus greening) is a bacterial disease that is significantly impacting the citrus industry in Florida and poses a risk to the remaining citrus-producing regions of the United States. A mathematical model of a grove infected by citrus greening is developed. An equilibrium stability analysis is presented.The basic reproductive number and its relation to the persistence of the disease is discussed. A numericalstudy is performed to illustrate the theoretical findings.

Keywords

• vector-borne disease.
• mathematical model
• citrus greening
• huanglongbing
• population dynamics