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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Main Authors: Juliet Nakakawa, Joseph Y. T. Mugisha, Michael W. Shaw, William Tinzaara, Eldad Karamura
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2017/4865015
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spelling 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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