Mathematical modeling of Glassy-winged sharpshooter population
Pierce's disease (PD) is a fatal disease of grapevines whichresults from an infection by the plant pathogen Xyllelafastidiosa. This bacterium grows in the xylem (water-conducting)vessels of the plant blocking movement of water. PD can kill vinesin one year and poses a serious threat to both the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.667 |
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| author | Jeong-Mi Yoon Volodymyr Hrynkiv Lisa Morano Anh Tuan Nguyen Sara Wilder Forrest Mitchell |
| author_facet | Jeong-Mi Yoon Volodymyr Hrynkiv Lisa Morano Anh Tuan Nguyen Sara Wilder Forrest Mitchell |
| author_sort | Jeong-Mi Yoon |
| collection | DOAJ |
| description | Pierce's disease (PD) is a fatal disease of grapevines whichresults from an infection by the plant pathogen Xyllelafastidiosa. This bacterium grows in the xylem (water-conducting)vessels of the plant blocking movement of water. PD can kill vinesin one year and poses a serious threat to both the California andthe expanding Texas wine industries. Bacteria are vectored fromone vine to the next by a number of xylem feeding insect species.Of these, the Glassy-winged Sharpshooter (GWSS) is considered tobe the primary xylem feeding insect in Texas vineyards. Anextensive database of the xylem-feeding population frequencies wascollected by USDA-APHIS for Texas vineyards over multiple years.This project focused on a subset of data, GWSS frequencies within25 vineyards in Edwards Plateau located in central Texas. Theproposed model investigates the natural population dynamics andthe decline in GWSS, likely the result of pest managementcampaigns on the insects within the region. The model is a delayGompertz differential equation with harvesting and immigrationterms, and we use the data to estimate the model parameters. |
| format | Article |
| id | doaj-art-3f778cbc95ce444596166b76b202432b |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3f778cbc95ce444596166b76b202432b2025-01-24T02:28:13ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-12-0111366767710.3934/mbe.2014.11.667Mathematical modeling of Glassy-winged sharpshooter populationJeong-Mi Yoon0Volodymyr Hrynkiv1Lisa Morano2Anh Tuan Nguyen3Sara Wilder4Forrest Mitchell5Department of Mathematics and Statistics, University of Houston - Downtown, Houston, TX 77002Department of Mathematics and Statistics, University of Houston - Downtown, Houston, TX 77002Department of Natural Sciences, University of Houston - Downtown, Houston, TX 77002University of Houston - Downtown, Houston, TX 77002University of Houston - Downtown, Houston, TX 77002Department of Entomology, Texas A&M AgriLife Research, Stephenville, TX 76401Pierce's disease (PD) is a fatal disease of grapevines whichresults from an infection by the plant pathogen Xyllelafastidiosa. This bacterium grows in the xylem (water-conducting)vessels of the plant blocking movement of water. PD can kill vinesin one year and poses a serious threat to both the California andthe expanding Texas wine industries. Bacteria are vectored fromone vine to the next by a number of xylem feeding insect species.Of these, the Glassy-winged Sharpshooter (GWSS) is considered tobe the primary xylem feeding insect in Texas vineyards. Anextensive database of the xylem-feeding population frequencies wascollected by USDA-APHIS for Texas vineyards over multiple years.This project focused on a subset of data, GWSS frequencies within25 vineyards in Edwards Plateau located in central Texas. Theproposed model investigates the natural population dynamics andthe decline in GWSS, likely the result of pest managementcampaigns on the insects within the region. The model is a delayGompertz differential equation with harvesting and immigrationterms, and we use the data to estimate the model parameters.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.667pierce's diseasemathematical modelingglassy-winged sharpshooter. |
| spellingShingle | Jeong-Mi Yoon Volodymyr Hrynkiv Lisa Morano Anh Tuan Nguyen Sara Wilder Forrest Mitchell Mathematical modeling of Glassy-winged sharpshooter population Mathematical Biosciences and Engineering pierce's disease mathematical modeling glassy-winged sharpshooter. |
| title | Mathematical modeling of Glassy-winged sharpshooter population |
| title_full | Mathematical modeling of Glassy-winged sharpshooter population |
| title_fullStr | Mathematical modeling of Glassy-winged sharpshooter population |
| title_full_unstemmed | Mathematical modeling of Glassy-winged sharpshooter population |
| title_short | Mathematical modeling of Glassy-winged sharpshooter population |
| title_sort | mathematical modeling of glassy winged sharpshooter population |
| topic | pierce's disease mathematical modeling glassy-winged sharpshooter. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.667 |
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