Mathematical modeling of citrus groves infected by huanglongbing
Author(s) -
Karly A. Jacobsen,
Jillian Stupiansky,
Sergei S. Pilyugin
Publication year - 2013
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2013.10.705
Subject(s) - greening , citrus fruit , persistence (discontinuity) , biology , basic reproduction number , ecology , environmental science , agroforestry , botany , engineering , demography , sociology , population , geotechnical engineering
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.
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