Rapid traveling waves in the nonlocal Fisher equation connect two unstable states. - Matthieu Alfaro; Jérôme Coville (Appl. Math. Lett., 2012)

Interface dynamics of the porous medium equation with a bistable reaction term. - Matthieu Alfaro; Danielle Hilhorst (Asymptot. Anal., 2012)

Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration. - Matthieu Alfaro; Rémi Carles (SIAM J. Appl. Math., 2014)

Varying the direction of propagation in reaction-diffusion equations in periodic media. - Matthieu Alfaro; Thomas Giletti (Networks Heterog. Media, 2016)

The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition. - Matthieu Alfaro; Henri Berestycki; Gaël Raoul (SIAM J. Math. Anal., 2017)

Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations. - Matthieu Alfaro; Arnaud Ducrot; Grégory Faye (SIAM J. Appl. Dyn. Syst., 2020)

Erratum: Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations. - Matthieu Alfaro; Arnaud Ducrot; Grégory Faye (SIAM J. Appl. Dyn. Syst., 2021)

Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme. - Matthieu Alfaro; Claire Chainais-Hillairet (CoRR, 2023)

Adaptation in shifting and size-changing environments under selection. - Matthieu Alfaro; Adel Blouza; Nessim Dhaouadi (CoRR, 2025)