40 citations · 264 across the 35 of their papers we have counts for
4 papers · 2 filters
Replicator-mutator equations with quadratic fitness
Matthieu Alfaro, Rémi Carles
This work completes our previous analysis on models arising in evolutionary genetics. We consider the so-called replicator-mutator equation, when the fitness is quadratic. This equ…
Propagation phenomena in monostable integro-differential equations: acceleration or not?
Matthieu Alfaro, Jérôme Coville
We consider the homogeneous integro-differential equation with a monostable nonlinearity . Our interest is twofold: we investigate the existence/non e…
Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology
Matthieu Alfaro, Quentin Griette
We consider a periodic reaction diffusion system which, because of competition between and , does not enjoy the comparison principle. It also takes into account mutations, a…
Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
Matthieu Alfaro
We consider the nonlocal diffusion equation in the whole of . We prove that the Fujita exponent dramatically depends on the behavior of the Fo…