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

B. Nannyonga

Department of Mathematics, Makerere University, P. O. Box 7062, Kampala, Uganda

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L. S. Luboobi

Department of Mathematics, Makerere University, P. O. Box 7062, Kampala, Uganda

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P. Tushemerirwe

Department of Mathematics, Makerere University, P. O. Box 7062, Kampala, Uganda

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, and

M. Jabłońska-Sabuka

Department of Mathematics and Physics, Lappeenranta University of Technology, Skinnarilankatu 34, 53850 Lappeenranta, Finland

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https://doi.org/10.1142/S1793524515500655Cited by:5 (Source: Crossref)

Abstract

Optimal control theory is applied to a system of ordinary differential equations modeling banana Xanthomonas wilt within plantations. The objective is to reduce the proportion of infected plants by use of controls representing two types of preventive methods: vector and contaminated tool prevention. The optimal controls are characterized in terms of the optimality system, which is solved analytically and numerically for several scenarios.

Keywords:

AMSC: 49J15, 92B05, 93A30

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