Resonance and durability of crop resistance.

<p>Durability of crop resistance <i>vs</i> the period of application of disease control compared with the case when constant control and no control is applied. Predictions for both stochastic and deterministic model are shown. This leads to three messages: 1) The durability predicted by the stochastic models is always larger than that predicted by the deterministic models 2) The durability is always larger when periodic control is applied 3) Stochasticity and periodicity lead to resonance with the natural frequencies of the pathosystem (maximum in the blue-dots profile) with strong effect on durability. The dashed black line represents predictions for the deterministic case in absence of control (≈8000), this is 1∶5 lower than the deterministic case in the presence of constant control but it is not shown the current plot as the two profiles are indistinguishable.