IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/4865015.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2017/4865015.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2017/4865015.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/4865015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.
    3. Esther Gloria Mbabazi & Enoch M. Kikulwe & Joseph Lule Kyanjo & Nasser Mulumba & Edward Kato & Elisabetta Gotor, 2024. "Has Continued Exposure to Banana Xanthomonas Wilt Worsened Farmers’ Welfare Over Time? Evidence From Banana-Producing Households in Uganda," Journal of Agricultural Science, Canadian Center of Science and Education, vol. 13(11), pages 1-11, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abdelaziz, Mahmoud A.M. & Ismail, Ahmad Izani & Abdullah, Farah A. & Mohd, Mohd Hafiz, 2020. "Codimension one and two bifurcations of a discrete-time fractional-order SEIR measles epidemic model with constant vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Yujiang Liu & Shujing Gao & Di Chen & Bing Liu, 2024. "Modeling the Transmission Dynamics and Optimal Control Strategy for Huanglongbing," Mathematics, MDPI, vol. 12(17), pages 1-23, August.
    3. Ali Khaleel Dhaiban & Baydaa Khalaf Jabbar, 2021. "An optimal control model of COVID-19 pandemic: a comparative study of five countries," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 790-809, December.
    4. Mingdong Lyu & Kuofu Liu & Randolph W. Hall, 2024. "Spatial Interaction Analysis of Infectious Disease Import and Export between Regions," IJERPH, MDPI, vol. 21(5), pages 1-19, May.
    5. Jose Diamantino Hernández Guillén & Ángel Martín del Rey & Roberto Casado Vara, 2020. "On the Optimal Control of a Malware Propagation Model," Mathematics, MDPI, vol. 8(9), pages 1-16, September.
    6. Qureshi, Sania & Jan, Rashid, 2021. "Modeling of measles epidemic with optimized fractional order under Caputo differential operator," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    7. Li, Can & Guo, Zun-Guang & Zhang, Zhi-Yu, 2017. "Transmission dynamics of a brucellosis model: Basic reproduction number and global analysis," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 161-172.
    8. Hellen Namawejje & Emmanuel Obuya & Livingstone S. Luboobi, 2018. "Modeling Optimal Control of Cholera Disease Under the Interventions of Vaccination, Treatment and Education Awareness," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(5), pages 137-152, October.
    9. Nudee, K. & Chinviriyasit, S. & Chinviriyasit, W., 2019. "The effect of backward bifurcation in controlling measles transmission by vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 400-412.
    10. Jairos Kahuru & Livingstone S. Luboobi & Yaw Nkansah-Gyekye, 2017. "Optimal Control Techniques on a Mathematical Model for the Dynamics of Tungiasis in a Community," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2017, pages 1-19, August.
    11. Kimberly M. Thompson, 2016. "Evolution and Use of Dynamic Transmission Models for Measles and Rubella Risk and Policy Analysis," Risk Analysis, John Wiley & Sons, vol. 36(7), pages 1383-1403, July.
    12. Fu, Xinjie & Wang, JinRong, 2022. "Dynamic stability and optimal control of SISqIqRS epidemic network," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    13. Berhe, Hailay Weldegiorgis & Makinde, Oluwole Daniel & Theuri, David Mwangi, 2019. "Co-dynamics of measles and dysentery diarrhea diseases with optimal control and cost-effectiveness analysis," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 903-921.
    14. Pang, Liuyong & Zhao, Zhong & Song, Xinyu, 2016. "Cost-effectiveness analysis of optimal strategy for tumor treatment," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 293-301.
    15. Farman, Muhammad & Xu, Changjin & Shehzad, Aamir & Akgul, Ali, 2024. "Modeling and dynamics of measles via fractional differential operator of singular and non-singular kernels," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 461-488.
    16. Madhu, Kalyanasundaram & Al-arydah, Mo’tassem, 2021. "Optimal vaccine for human papillomavirus and age-difference between partners," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 325-346.
    17. Xu, Rui & Wang, Zhili & Zhang, Fengqin, 2015. "Global stability and Hopf bifurcations of an SEIR epidemiological model with logistic growth and time delay," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 332-342.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:4865015. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.