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.

中文翻译：

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一种土传香蕉害虫的优化和可持续管理

在本文中，我们提出了通过控制害虫穴居线虫 \textit{Radopholus similis} 来优化香蕉或大蕉产量的生态友好型方法。这种控制依赖于休耕部署，比化学方法更尊重环境。优化基于多季节模型，其中休耕期跟随作物季节。目的是在利润方面找到最佳方法，在跨越多个季节的固定时间范围内分配耕作季节之间的休耕期。证明了最优分配的存在性，并提出了一种自适应随机搜索算法来解决优化问题。在相对较长的时间范围内，部署比最大可能的种植季节数少的一个季节可以增加休耕期的持续时间并产生更好的多季节利润。对于定期休耕持续时间，利润低于最佳解决方案，但最终的土壤侵染也较低。