Séance Séminaire

Séminaire ACSIOM

Analysis and optimization of two "Rolling carpet" strategies to repulse an invasive species

In order to prevent the propagation of human diseases transmitted by mosquitoes, one possible solution is to act directly on the mosquito population. In this talk, we consider an invasive species (the mosquitoes) and we study two strategies to eradicate the population. The dynamics of the population is modeled through a bistable reaction diffusion equation in an one-dimensional setting and both strategies are based on the same idea: we act on a moving interval. The action of the first strategy is to kill as many individuals as we can in this moving interval. The action of the second strategy is to release sterile males in this moving interval. The first part of the talk focus on the efficiency of the strategies. For both strategies, we manage to generate traveling waves that propagate in the opposite direction than the natural invasive traveling wave, thus we succeed in repulsing the invasive species. All the results are illustrated by numerical simulations. In a second part, we present an ongoing work which aims to minimize the cost of both strategies. This talk is based on joint works with Luis Almeida, Grégoire Nadin, Yannick Privat and Nicolas Vauchelet.