Using contaminated tools fuels outbreaks of Banana<i>Xanthomonas wilt</i>: An optimal control study within plantations using Runge–Kutta fourth-order algorithms

Nannyonga, Betty; Luboobi, Livingstone S.; Tushemerirwe, P.; Jabłońska-Sabuka, Matylda

doi:10.1142/s1793524515500655

Cited by 12 publications

(14 citation statements)

References 17 publications

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“…Optimal control modeling has been extensively used to understand biomedical problems and suggest optimal control combinations that will minimize the costs [10][11][12][13][14]. Our model focuses on determining the optimal control combination within smallholder plantations with mixed cultivars given that in banana cropping system different cultivars are managed differently and the risk of infection is also different.…”

Section: Introductionmentioning

confidence: 99%

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

Nakakawa

Mugisha

Shaw

et al. 2017

International Journal of Mathematics and Mathematical Sciences

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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.

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Section: Introductionmentioning

confidence: 99%

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

Nakakawa

Mugisha

Shaw

et al. 2017

International Journal of Mathematics and Mathematical Sciences

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“…Likewise, Nakakawa et al (2016) presented a mathematical model for BXW propagated by an insect vector. The mathematical model they formulated takes into account inflorescence infection and vertical transmission from the mother corm to the daughter hills, but not tool-based transmission by humans (Nakakawa et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

A theoretical model for the prevention of Banana Moko (Musa AAB Simmonds)

Grajales-Amorocho

Loaiza

2020

F1000Res

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A population simulation model with non-linear ordinary differential equations is presented, which interprets the dynamics of the banana Moko, with prevention of the disease and population of susceptible and infected plants over time. A crop with a variable population of plants and a logistic growth of replanting is assumed, taking into account the maximum capacity of plants in the delimited study area.

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“…It was established that at appropriate roguing and replanting rates, the disease can be contained. Nannyonga et al [15] used optimal control theory to study the dynamics of BXW within plantations with controls targeting transmission via vectors and contaminated tools. Their model incorporated vertical transmission of the disease from mother plant to emerging suckers.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Dynamics of Banana Xanthomonas Wilt Transmission Incorporating Infectious Force in both Asymptomatic and Symptomatic Stages

Kweyunga

Karamura²

2018

JAMCS

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Despite massive efforts by regional governments and partners in the East and Central African region towards fighting Xanthomonas Wilt of banana, the disease is reported to continue to spread to new areas and resurge in others it had been contained. The use of asymptomatic but infectious plants is hypothesized to play a leading role in the persistence of the disease and it's introduction to new areas. A model for the transmission of BXW by symptomless plants is proposed and

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Using contaminated tools fuels outbreaks of BananaXanthomonas wilt: An optimal control study within plantations using Runge–Kutta fourth-order algorithms

Cited by 12 publications

References 17 publications

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

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

A theoretical model for the prevention of Banana Moko (Musa AAB Simmonds)

Modeling the Dynamics of Banana Xanthomonas Wilt Transmission Incorporating Infectious Force in both Asymptomatic and Symptomatic Stages

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