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柑橘黄龙病感染果园的数学建模。

Mathematical modeling of citrus groves infected by huanglongbing.

机构信息

Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA.

出版信息

Math Biosci Eng. 2013 Jun;10(3):705-28. doi: 10.3934/mbe.2013.10.705.

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.

摘要

黄龙病(柑橘黄龙病)是一种细菌性疾病,对佛罗里达州的柑橘产业产生了重大影响,并对美国其余的柑橘生产地区构成了威胁。建立了一个受黄龙病感染的果园的数学模型。提出了平衡点稳定性分析。讨论了基本再生数及其与疾病持续存在的关系。进行了数值研究以说明理论结果。

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