title: 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 numerical study is performed to illustrate the theoretical findings.
authors.affiliation: Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA. karlyj@ufl.edu
authors.forename: Karly
authors.initials: K
authors.lastname: Jacobsen
authors.forename: Jillian
authors.initials: J
authors.lastname: Stupiansky
authors.forename: Sergei S
authors.initials: SS
authors.lastname: Pilyugin
mesh_terms: D000818:Animals; D002957:Citrus / Q000382:microbiology*; D005431:Florida; D006430:Hemiptera / Q000382:microbiology; D007303:Insect Vectors / Q000382:microbiology; D055641:Mathematical Concepts; D008954:Models, Biological; D010935:Plant Diseases / Q000382:microbiology* / Q000517:prevention & control; D011157:Population Dynamics; D012230:Rhizobiaceae / Q000472:pathogenicity; D049490:Systems Biology