Search Advanced

Mathematical Biosciences and Engineering

2013, Volume 10, Issue 3: 705-728. doi: 10.3934/mbe.2013.10.705
Previous Article Next Article

Mathematical modeling of citrus groves infected by huanglongbing

  • 1.
    Department of Mathematics, University of Florida, Gainesville, FL 32611-8105
  • 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
    [1] Australian Journal of Agricultural Research, 29 (1978), 535-544.
    [2] http://www.freshfromflorida.com/pi/chrp/greening/citrus_disease-june-2010.pdf. 2010.
    [3] Journal of Applied Ecology, 31 (1994), 413-427.
    [4] Phytoparasitica, 11 (1983), 39-49.
    [5] Proceedings of the American Mathematical Society, 104 (1988), 111-116.
    [6] Journal of Dynamics and Differential Equations, 6 (1994), 583-600.
    [7] Kluwer Academic Publishers, Dordrecht, 1992.
    [8] Annual Review of Phytopathology, 48 (2010), 119-139.
    [9] 2010.
    [10] 2012.
    [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.
  • Reader Comments
  • © 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)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Mathematical Biosciences and Engineering
4.4

Metrics

Article views(4557) PDF downloads(603) Cited by(24)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog