Mathematical modeling of citrus groves infected by huanglongbing

Karly Jacobsen; Jillian Stupiansky; Sergei S. Pilyugin

doi:10.3934/mbe.2013.10.705

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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: May 2012

Revised: July 2012

Published: April 2013

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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.

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Mathematics Subject Classification: Primary: 92D25, 34D20; Secondary: 92D40.

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