Mathematical modeling of citrus groves infected by huanglongbing
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 a...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2013-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.705 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590094146469888 |
|---|---|
| author | Karly Jacobsen Jillian Stupiansky Sergei S. Pilyugin |
| author_facet | Karly Jacobsen Jillian Stupiansky Sergei S. Pilyugin |
| author_sort | Karly Jacobsen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-05fa2857e0564489899a12fc5ccb9470 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-05fa2857e0564489899a12fc5ccb94702025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110370572810.3934/mbe.2013.10.705Mathematical modeling of citrus groves infected by huanglongbingKarly Jacobsen0Jillian Stupiansky1Sergei S. Pilyugin2Department of Mathematics, University of Florida, Gainesville, FL 32611-8105Department of Mathematics, University of Florida, Gainesville, FL 32611-8105Department of Mathematics, University of Florida, Gainesville, FL 32611-8105Huanglongbing (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.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.705vector-borne disease.mathematical modelcitrus greeninghuanglongbingpopulation dynamics |
| spellingShingle | Karly Jacobsen Jillian Stupiansky Sergei S. Pilyugin Mathematical modeling of citrus groves infected by huanglongbing Mathematical Biosciences and Engineering vector-borne disease. mathematical model citrus greening huanglongbing population dynamics |
| title | Mathematical modeling of citrus groves infected by huanglongbing |
| title_full | Mathematical modeling of citrus groves infected by huanglongbing |
| title_fullStr | Mathematical modeling of citrus groves infected by huanglongbing |
| title_full_unstemmed | Mathematical modeling of citrus groves infected by huanglongbing |
| title_short | Mathematical modeling of citrus groves infected by huanglongbing |
| title_sort | mathematical modeling of citrus groves infected by huanglongbing |
| topic | vector-borne disease. mathematical model citrus greening huanglongbing population dynamics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.705 |
| work_keys_str_mv | AT karlyjacobsen mathematicalmodelingofcitrusgrovesinfectedbyhuanglongbing AT jillianstupiansky mathematicalmodelingofcitrusgrovesinfectedbyhuanglongbing AT sergeispilyugin mathematicalmodelingofcitrusgrovesinfectedbyhuanglongbing |