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Mathematical Biosciences and Engineering

2013, Volume 10, Issue 3: 705-728. doi: 10.3934/mbe.2013.10.705
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Mathematical modeling of citrus groves infected by huanglongbing

  • 1.
    Department of Mathematics, University of Florida, Gainesville, FL 32611-8105
  • Received: 01 May 2012 Accepted: 29 June 2018 Published: 01 April 2013

  • MSC : Primary: 92D25, 34D20; Secondary: 92D40.

  • 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.

    Citation: Karly Jacobsen, Jillian Stupiansky, Sergei S. Pilyugin. Mathematical modeling of citrus groves infected by huanglongbing[J]. Mathematical Biosciences and Engineering, 2013, 10(3): 705-728. doi: 10.3934/mbe.2013.10.705

    Related Papers:

  • 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.


    加载中
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    [11] The Florida Entomologist, 87 (2004), 330-353.
    [12] Food and Resource Economics Department, Florida Cooperative Extension Service, Institute of Food and Agricultural Sciences, University of Florida, (2012), http://edis.ifas.ufl.edu/pdffiles/FE/FE90300.pdf.
    [13] The Florida Entomologist, 91 (2008), 36-42.
    [14] Cambridge University Press, Cambridge, 1995.
    [15] http://www.texasagriculture.gov/RegulatoryPrograms/PlantQuality/PestandDiseaseAlerts/CitrusGreening.aspx, 2012.
    [16] 2010.
    [17] Mathematical Biosciences, 180 (2002), 29-48.
    [18] in "Proceedings of the 10th Conference, International Organization of Citrus Virologists" Riverside, California, (1988), 243-248.
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  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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