54 citations · 214 across the 28 of their papers we have counts for
6 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…
How Best Can Finite-Time Social Distancing Reduce Epidemic Final Size?
Pierre-Alexandre Bliman, Michel Duprez
Given maximal social distancing duration and intensity, how can one minimize the epidemic final size, or equivalently the total number of individuals infected during the outbreak?…
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…
Minimal cost-time strategies for population replacement using the IIT
Luis Almeida, Jesús Bellver, Michel Duprez +1
Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effectiv…
A new -FEM approach for problems with natural boundary conditions
Michel Duprez, Vanessa Lleras, Alexei Lozinski
We present a new finite element method, called -FEM, to solve numerically elliptic partial differential equations with natural (Neumann or Robin) boundary conditions using simpl…