Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation
An optimal control framework is designed in which the use of clean planting materials, debudding, disinfection of tools, and roguing are considered as control measures of Banana Xanthomonas Wilt (BXW) within a plantation of multiple cultivars. A model for a special case of two cultivars (AAA- and AB...
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doaj-212819c9900c463e9abcc6d0d95559512020-11-24T21:59:46ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252017-01-01201710.1155/2017/48650154865015Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar PlantationJuliet Nakakawa0Joseph Y. T. Mugisha1Michael W. Shaw2William Tinzaara3Eldad Karamura4Department of Mathematics, Makerere University, P.O. Box 7062, Kampala, UgandaDepartment of Mathematics, Makerere University, P.O. Box 7062, Kampala, UgandaSchool of Agriculture, Policy and Development, University of Reading, Agriculture Building, Whiteknights, Reading RG6 6AR, UKBioversity International, Plot 106, Katalima Road, P.O. Box 24384, Naguru, Kampala, UgandaBioversity International, Plot 106, Katalima Road, P.O. Box 24384, Naguru, Kampala, UgandaAn optimal control framework is designed in which the use of clean planting materials, debudding, disinfection of tools, and roguing are considered as control measures of Banana Xanthomonas Wilt (BXW) within a plantation of multiple cultivars. A model for a special case of two cultivars (AAA- and ABB-genome cultivars) was analyzed. By Pontryagin’s Maximum Principle, we characterized and discussed possible control strategies that substantially reduce the infection levels of BXW within a plantation of ABB- and AAA-genome cultivars. A combination of both prevention and containment controls yielded the greatest decline in the infection levels in both cultivars. Additionally, for effective BXW management, it is important to assess the endemic level of the plantation before application of controls, and once implemented, this should be maintained even when the disease is undetectable to eliminate possible resurgence.http://dx.doi.org/10.1155/2017/4865015 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Juliet Nakakawa Joseph Y. T. Mugisha Michael W. Shaw William Tinzaara Eldad Karamura |
spellingShingle |
Juliet Nakakawa Joseph Y. T. Mugisha Michael W. Shaw William Tinzaara Eldad Karamura Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation International Journal of Mathematics and Mathematical Sciences |
author_facet |
Juliet Nakakawa Joseph Y. T. Mugisha Michael W. Shaw William Tinzaara Eldad Karamura |
author_sort |
Juliet Nakakawa |
title |
Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation |
title_short |
Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation |
title_full |
Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation |
title_fullStr |
Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation |
title_full_unstemmed |
Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation |
title_sort |
banana xanthomonas wilt infection: the role of debudding and roguing as control options within a mixed cultivar plantation |
publisher |
Hindawi Limited |
series |
International Journal of Mathematics and Mathematical Sciences |
issn |
0161-1712 1687-0425 |
publishDate |
2017-01-01 |
description |
An optimal control framework is designed in which the use of clean planting materials, debudding, disinfection of tools, and roguing are considered as control measures of Banana Xanthomonas Wilt (BXW) within a plantation of multiple cultivars. A model for a special case of two cultivars (AAA- and ABB-genome cultivars) was analyzed. By Pontryagin’s Maximum Principle, we characterized and discussed possible control strategies that substantially reduce the infection levels of BXW within a plantation of ABB- and AAA-genome cultivars. A combination of both prevention and containment controls yielded the greatest decline in the infection levels in both cultivars. Additionally, for effective BXW management, it is important to assess the endemic level of the plantation before application of controls, and once implemented, this should be maintained even when the disease is undetectable to eliminate possible resurgence. |
url |
http://dx.doi.org/10.1155/2017/4865015 |
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