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Mathematical modelling and optimal control of the seasonal coffee leaf rust propagation

Clotilde Djuikem 1, 2, 3 Agustín Gabriel yabo 1, 2 Frédéric Grognard 1, 2, 3 Suzanne Touzeau 4, 1, 2, 3, * 
* Corresponding author
1 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche, INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Abstract : This paper deals with the problem of modelling and optimal control of the coffee leaf rust (CLR) in a coffee plantation. We first formulate and analyze a mathematical model for the propagation of CLR with impulsive effect, which represents the non-production period of coffee. Then, the CLR control is formulated and solved as an optimal control, showing how a biological control strategy can be implemented in a coffee plantation to reduce the damage caused by CLR, therefore increasing the coffee production. Numerical simulations are performed to illustrate and validate the theoretical results.
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https://hal.inria.fr/hal-03274865
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Submitted on : Wednesday, June 30, 2021 - 2:57:11 PM
Last modification on : Wednesday, May 11, 2022 - 4:39:06 AM
Long-term archiving on: : Friday, October 1, 2021 - 6:37:23 PM

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Clotilde Djuikem, Agustín Gabriel yabo, Frédéric Grognard, Suzanne Touzeau. Mathematical modelling and optimal control of the seasonal coffee leaf rust propagation. ADHS 2021 - 7th IFAC Conference on Analysis and Design of Hybrid Systems, IFAC, Jul 2021, Brussels, Belgium. pp.193-198, ⟨10.1016/j.ifacol.2021.08.497⟩. ⟨hal-03274865⟩

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