The Sterile Insect Release Method with Allee effect

The Sterile Insect Release Method (SIRM) as a form of pest control was first introduced by Dr. Edward Knipling in 1955. Extensive use of this method has been used to curb the infestation of many insects from the New World Screwworm to the Oriental Melon Fly. Several models have been proposed to model the dynamics of an insect population under the sterile insect technique. The model that we analyzed included a linear release of sterile insects (as opposed to a constant release rate). We also incorporated an Allee effect (a positive density dependence relationship between individual fitness and population size) and analyzed how that affected the model.