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Mathematical modeling of citrus groves infected by huanglongbing
Karly Jacobsen1, Jillian Stupiansky, Sergei S Pilyugin
1Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA. karlyj@ufl.edu
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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