40 citations · 264 across the 35 of their papers we have counts for
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math.AP2019★ 8 cited
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Gregory Faye
We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bist…
math.AP2019
Evolution equations involving nonlinear truncated Laplacian operators
Matthieu Alfaro, Isabeau Birindelli
We first study the so-called Heat equation with two families of elliptic operators whichare fully nonlinear, and depend on some eigenvalues of the Hessian matrix. The equationwith…
math.AP2019
Density dependent replicator-mutator models in directed evolution
Matthieu Alfaro, Mario Veruete
We analyze a replicator-mutator model arising in the context of directed evolution [23], where the selection term is modulated over time by the mean-fitness. We combine a Cumulant…