MATHEMATICAL MODELING OF STERILE INSECT TECHNIQUE FOR CONTROL OF FALSE CODLING MOTH

Abstract

The Sterile Insect Technique (SIT) is a biological and nonpolluting method of control of pest population in a farm. This method relies on the release of sterile male False Codling Moth (FCM) in order to reduce the population fertile female FCM in the farm. In this study a mathematical model that simulates the interaction between the susceptible host, sterile male FCM and the wild FCM population is developed. The local and global stability analysis of the model is analyzed and found to be asymptotically stable when . A threshold number of sterile insect FCM above which the control of FCM is effective is determined. The results are reorganized as possible strategies for control of FCM and illustrated.