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.References:[1] Anguelov R., Dumont Y., Yatat-Djeumen I.V. (2020). Sustainable vector/pest control using the permanent sterile insect technique. Mathematical Methods in the Applied Sciences 43(18):10391–10412. https://doi.org/10.1002/mma.6385[2] Aronna M.S., Dumont Y. (2020).On nonlinear pest/vector control via the sterile insect technique: Impact of residual fertility. Bulletin of Mathematical Biology; 82 (8): 110.https://doi.org/10.1007/s11538-020-00790-3[3] Dumont Y., Yatat-Djeumen I.V. (2024). About contamination by sterile females and residual male fertility on the effectiveness of the sterile insect technique. Impact on disease vector control and disease control. Mathematical Biosciences;370: 109165. https://doi.org/10.1016/j.mbs.2024.109165[4] Dumont Y, Duprez M. (2024). Modeling the impact of rainfall and temperature on sterile insect control strategies in a tropical environment. J. of Biol. Syst. 32 (01): 311– 347. https://doi.org/10.1142/S0218339024500128[5] Dumont Y., Oliva C.F. (2024). On the impact of re-mating and residual fertility on the sterile insect technique efficacy: Case study with the medfly, ceratitis capitata. PLOS Computational Biology, 20(5): 1-35. https://doi.org/10.1371/ journal.pcbi.1012052[6] Dyck V.A., Hendrichs J., Robinson A.S. (2005). Sterile insect technique: principles and practice in area-wide integrated pest management. Springer, Dordrecht, The Netherlands