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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

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  • 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.


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