Agronomy

Mathematical modelling and optimal control of the seasonal coffee leaf rust propagation
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.
Clotilde Djuikem, Agustín Yabo, Frédéric Grognard, Suzanne Touzeau