45 citations · 211 across the 47 of their papers we have counts for
8 papers · 1 filter
Optimization of spatial control strategies for population replacement, application to Wolbachia
Michel Duprez, Romane Hélie, Yannick Privat +1
In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread…
Optimal control strategies for the sterile mosquitoes technique
Luís Almeida, Michel Duprez, Yannick Privat +1
Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile in…
Final size and convergence rate for an epidemic in heterogeneous population
Luís Almeida, Pierre-Alexandre Bliman, Grégoire Nadin +2
We formulate a general SEIR epidemic model in a heterogenous population characterized by some trait in a discrete or continuous subset of a space R d. The incubation and recovery r…
Optimal immunity control by social distancing for the SIR epidemic model
Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat +1
Until a vaccine or therapy is found against the SARS-CoV-2 coronavirus, reaching herd immunity appears to be the only mid-term option. However, if the number of infected individual…
Numerical scheme for kinetic transport equation with internal state *
Nicolas Vauchelet, Shugo Yasuda
We investigate the numerical discretization of a two-stream kinetic system with an internal state, such system has been introduced to model the motion of cells by chemotaxis. This…
The sterile insect technique used as a barrier control against reinfestation
Luis Almeida, Jorge Estrada, Nicolas Vauchelet
The sterile insect technique consists in massive release of sterilized males in the aim to reduce the size of mosquitoes population or even eradicate it. In this work, we investiga…