6 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
LuÃs 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…
The Filippov characteristic flow for the aggregation equation with mildly singular potentials
José Antonio Carrillo, Francois James, Frédéric Lagoutière +1
Existence and uniqueness of global in time measure solution for the multidimensional aggregation equation is analyzed. Such a system can be written as a continuity equation with a…
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…
Optimal strategies for Wolbachia mosquito replacement technique: influence of the carrying capacity on spatial releases
Luis Almeida, Jesús Bellver Arnau, Gwenaël Peltier +1
This work is devoted to the mathematical study of an optimization problem regarding control strategies of mosquito population in a heterogeneous environment. Mosquitoes are well-kn…