Résumé
The sterile insect technique (SIT) is an old autocidal control method used to fight pest and vectors of diseases [6]. Most of SIT models are dedicated to mosquitoes, like [1–4], while very few models have been developed for other pest, like fruit flies [5]. In fact, fruit flies do not have the same biological cycle than mosquitoes. In particular, contrary to mosquitoes, fruit flies can re-mate, between, so-called, refractory periods. This re-mating can have multiple consequences on SIT efficiency. Based on [5], we build a new model taking into residual fertility, double re-mating, different refractory periods related to an initial mating with a wild or a sterile male, and also the fact that the competitiveness of sterile males may change between the first mating and the second mating. We explore the impact of all these issues, theoretically and numerically, on SIT efficiency. This presentation stands within the framework of an ongoing project in Réunion island, AttracTIS [7], which aims at studying a combination of control tools against the oriental fruit fly, Bactrocera dorsalis, that invaded Réunion island in 2017 and, since then, has impacted significantly the production of fruits, in particular mangos.