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The development of sustainable vector/pest control methods is of utmostimportance to reduce the risk of vector-borne diseases and pest damages oncrops. Among them, the Sterile Insect Technique (SIT) is a very promising one.In this paper, using diffusion operators, we extend a temporal SIT model,developed in a recent paper, into a partially degenerate reaction-diffusion SITmodel. Adapting some theoretical results on traveling wave solutions forpartially degenerate reaction-diffusion equations, we show the existence ofmono-stable and bi-stable traveling-wave solutions for our SIT system. Thedynamics of our system is driven by a SIT-threshold number above which the SITcontrol becomes effective and drives the system to elimination, using massivereleases. When the amount of sterile males is lower than the SIT-threshold, theSIT model experiences a strong Allee effect such that a bi-stable travelingwave solution can exist and can also be used to derive an effective long termstrategy, mixing massive and small releases. We illustrate some of ourtheoretical results with numerical simulations , and, also explore numericallyspatial-localized SIT control strategies, using massive and small releases. Weshow that this "corridor" strategy can be efficient to block an invasion andeventually can be used to push back the front of a vector/pest invasion.

On the use of Traveling Waves for Pest/Vector elimination using the Sterile Insect Technique