45 citations · 211 across the 47 of their papers we have counts for
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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…
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…
Steady-state solutions for a reaction-diffusion equation with Robin boundary conditions: Application to the control of dengue vectors
Luís Almeida, Pierre-Alexandre Bliman, Nga Nguyen +1
In this paper, we investigate an initial-boundary-value problem of a reaction-diffusion equation in a bounded domain with a Robin boundary condition and introduce some particular p…
Analysis of the "Rolling carpet" strategy to eradicate an invasive species
Luis Almeida, Alexis Leculier, Nicolas Vauchelet
In order to prevent the propagation of human diseases transmitted by mosquitoes (such as dengue or zika), one possible solution is to act directly on the mosquito population. In th…
Relaxation limit of the aggregation equation with pointy potential
Benoît Fabrèges, Frédéric Lagoutière, Tran Tien +1
This work is devoted to the study of a relaxation limit of the so-called aggregation equation with a pointy potential in one dimensional space. The aggregation equation is by now w…