The nematode Radopholus Similis is the most significant parasitic nematode of the banana plant and the banana plantain plant in the world. R. Similis feeds on the root tissues and causes damages going from simple root lesions, reducing the crop yield, to the fall of seedlings. Because of these damages, R. Similis is one of the most regulated pests of plant but its control still implies toxic nematicides with limited efficiency and harmful ecological impact. Our global aim is to design more efficient and sustainable control strategies, including alternative methods to nematicides such as crop rotation or fallow practice. Our approach is based on a hybrid model describing the plant-nematode interactions over several cropping seasons. During the fallow, in the absence of host, the pest population undergoes a rapid decay. We formulate an optimisation problem to determine the fallow periods that maximise the multi-seasonal yield over a finite and fixed time horizon. Two cases are considered: a constant or variable fallow periods. The existence of an optimalsolution is proven and its location is computed. Numerical simulations are providedto illustrate our results.