45 citations · 211 across the 47 of their papers we have counts for
52 papers
Optimal Dirac controls for time-periodic bistable ODEs, application to population replacement
Grégoire Nadin, David Nahmani, Nicolas Vauchelet
This work addresses an optimal control problem on a dynamics governed by a nonlinear differential equation with a bistable time-periodic nonlinearity. This problem, relevant in pop…
Rolling carpet strategy to reduce mosquito populations in two-dimensional space
Luís Almeida, Alexis Léculier, Nga Nguyen +1
Mosquitoes are vectors of numerous diseases; a strategy to fight the spread of these diseases is to control the vector population. In this article, we focus on the use of the steri…
On a reaction-diffusion system modeling strong competition between two mosquito populations
Nicolas Vauchelet
This paper is devoted to the analysis of a reaction-diffusion system with strong competition and spatial heterogeneities modelling the interaction between two species of mosquitoes…
Analysis of a toy model for optimal crop protection
Luis Almeida, Aymeric Jacob de Cordemoy, Ayman Moussa +1
In this paper we investigate an optimal control problem involving a toy model for the protection on a crop field. Precisely, we consider a protection on a crop field and we want to…
Influence of the competition in the spatial dynamics of a population of Aedes mosquitoes
Ben Samia, Mohamed Lazhar Tayeb, Nicolas Vauchelet
In this article, we investigate a competitive reaction-diffusion system modelling the interaction between several species of mosquitoes. In particular, it has been observed that in…
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models
Pierre-Alexandre Bliman, Nga Nguyen, Nicolas Vauchelet
The Sterile Insect Technique (SIT) is one of the sustainable strategies for the control of disease vectors, which consists of releasing sterilized males that will mate with the wil…