Mathematical models for the use of sterile insects

Abstract

This chapter begins with a consideration of simple population models. The sterility formulation proposed by Knipling is then included into the population models, and these are elaborated in systematic fashion to include the major biological factors that will affect the success of the sterile insect technique (SIT) control programme. These factors include residual fertility, differential competitive ability of wild and sterilized males, mating patterns, immigration, and various combinations of these features. Also examined are density-dependence, age structure, population aggregation, biotic interactions with other species, and then integration of the SIT with other control methods. It was found that combinations of factors are synergistic: combinations of detrimental factors such as residual fertility and inferior competitive ability put severe limits on the probable success of the control programme, while combinations of control methods are much more likely to succeed than single control methods. This is because each control method needs only to account for a smaller proportion of the total mortality when combined with other methods than when acting alone.