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Modelling and control of coffee berry borer infestation

Abstract : In this paper, we developed a mathematical model that describes the infestation dynamics of coffee berry by Hypothenemus hampei (CBB). This model takes into account control some integrated pest management strategies which are used by coffee growers to eradicate CBB in plantations, represented by two functions depending on time. We design these functional controls to maximize the yield of healthy berries at the end of the cropping season, while minimising the borer population for the next cropping season and the control costs. By using optimal control theory, we show that an optimal control exists for this problem and Pontryagin’s maximum principle is used to characterize an optimal control. Numerical simulations are provided to illustrate our results.
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https://hal.inria.fr/hal-01871508
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Submitted on : Monday, September 10, 2018 - 11:37:21 PM
Last modification on : Tuesday, December 8, 2020 - 3:45:06 AM
Long-term archiving on: : Tuesday, December 11, 2018 - 5:04:23 PM

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  • HAL Id : hal-01871508, version 1
  • PRODINRA : 443301

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Yves Fotso Fotso, Frédéric Grognard, Berge Tsanou, Suzanne Touzeau. Modelling and control of coffee berry borer infestation. CARI’2018 - 14. Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées, Oct 2018, Stellenbosch, South Africa. ⟨hal-01871508⟩

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