2018/05/25 by Martin Strugarek, Strugarek, Martin, Hervé Bossin +3
Agricultural and Biological Sciences · Medicine · #Dynamical Systems (math.DS) #FOS: Mathematics #Insect behavior and control techniques #Insect symbiosis and bacterial influences #Mosquito-borne diseases and control
paper · pdf · doi:10.48550/arxiv.1805.10150
openalex publication_date 2018/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Vector control is critical to limit the circulation of vector-borne diseases like chikungunya, dengue or zika which have become important issues around the world. Among them the Sterile Insect Technique (SIT) and the Incompatible Insect Technique (IIT) recently aroused a renewed interest. In this paper we derive and study a minimalistic mathematical model designed for Aedes mosquito population elimination by SIT/IIT. Contrary to most of the previous models, it is bistable in general, allowing simultaneously for elimination of the population and for its survival. We consider dierent types of releases (constant, periodic or impulsive) and show necessary conditions to reach elimination in each case. We also estimate both sucient and minimal treatment times. Biological parameters are estimated from a case study of an Aedes polynesiensis population, for which extensive numerical investigations illustrate the analytical results. The applications of this work are twofold: to help identifying some key parameters that may need further eld investigations, and to help designing release protocols.