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Banana Xanthomonas Wilt Infection: The Role of Debudding and Roguing as Control Options within a Mixed Cultivar Plantation

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  • Juliet Nakakawa
  • Joseph Y. T. Mugisha
  • Michael W. Shaw
  • William Tinzaara
  • Eldad Karamura

Abstract

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.

Suggested Citation

  • Juliet Nakakawa & Joseph Y. T. Mugisha & Michael W. Shaw & William Tinzaara & Eldad Karamura, 2017. "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, Hindawi, vol. 2017, pages 1-13, December.
    • Handle: RePEc:hin:jijmms:4865015
    DOI: 10.1155/2017/4865015
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    1. Pang, Liuyong & Ruan, Shigui & Liu, Sanhong & Zhao, Zhong & Zhang, Xinan, 2015. "Transmission dynamics and optimal control of measles epidemics," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 131-147.
    2. G. Devipriya & K. Kalaivani, 2012. "Optimal Control of Multiple Transmission of Water-Borne Diseases," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-16, July.
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    Cited by:

    1. Tiziana Pagnani & Elisabetta Gotor & Enoch Kikulwe & Francesco Caracciolo, 2021. "Livelihood assets’ influence on Ugandan farmers’ control practices for Banana Xanthomonas Wilt (BXW)," Agricultural and Food Economics, Springer;Italian Society of Agricultural Economics (SIDEA), vol. 9(1), pages 1-19, December.
    2. Enoch M. Kikulwe & Joseph Lule Kyanjo & Edward Kato & Reuben T. Ssali & Rockefeller Erima & Samuel Mpiira & Walter Ocimati & William Tinzaara & Jerome Kubiriba & Elisabetta Gotor & Dietmar Stoian & El, 2019. "Management of Banana Xanthomonas Wilt: Evidence from Impact of Adoption of Cultural Control Practices in Uganda," Sustainability, MDPI, vol. 11(9), pages 1-18, May.

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