2017/03/02 by Pierre‐Alexandre Bliman, Bliman, Pierre-Alexandre, Nicolas Vauchelet +1 · 1 citation
Agricultural and Biological Sciences · #Analysis of PDEs (math.AP) #FOS: Mathematics #Insect symbiosis and bacterial influences
paper · doi:10.48550/arxiv.1703.00672
openalex publication_date 2017/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Several stains of the intracellular parasitic bacterium Wolbachia limit severely the competence of the mosquitoes Aedes aegypti as a vector of dengue fever and possibly other arboviroses. For this reason, the release of mosquitoes infected by this bacterium in natural populations is presently considered a promising tool in the control of these diseases. Following works by M. Turelli [4] and subsequently M. Strugarek et al. [21, 22], we consider a simple scalar reaction-diffusion model describing the evolution of the proportion of infected mosquitoes, sufficient to reveal the bistable nature of the Wolbachia dynamics. A simple distributed feedback law is proposed, whose application on a compact domain during finite time is shown to be sufficient to invade the whole space. The corresponding stabilization result is established for any space dimension.