  In this paper we propose an eco-friendly optimization of banana or plantain
yield by the control of the pest burrowing nematode \textit{Radopholus
similis}. This control relies on fallow deployment, with greater respect for
the environment than chemical methods. The optimization is based on a
multi-seasonal model in which fallow periods follow cropping seasons. The aim
is to find the best way, in terms of profit, to allocate the durations of
fallow periods between the cropping seasons, over a fixed time horizon spanning
several seasons. The existence of an optimal allocation is proven and an
adaptive random search algorithm is proposed to solve the optimization problem.
For a relatively long time horizon, deploying one season less than the maximum
possible number of cropping seasons allows to increase the fallow period
durations and results in a better multi-seasonal profit. For regular fallow
durations, the profit is lower than the optimal solution, but the final soil
infestation is also lower.
