ON A REACTION-DIFFUSION MODEL FOR STERILE INSECT RELEASE METHOD WITH RELEASE ON THE BOUNDARY

We consider a partial differential equation model that describes the sterile insect release method (SIRM) in a bounded 1-dimensional domain (interval). Unlike everywhere-releasing in the domain as considered in previous works [17] and [14], we propose the mechanism of releasing on the boundary only. We show existence of the fertile-free steady state and prove its stability under some other conditions there may exists a coexistence steady state. Biological implications of our mathematical results are that the SIRM with releasing only on the boundary can successfully eradicate the fertile insects as long as the strength of the fertile releasing is reasonably large, while the method may also fail if the releasing is not sufficient.