3 papers
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…
math.AP2018
Evolutionary branching via replicator-mutator equations
Matthieu Alfaro, Mario Veruete
We consider a class of non-local reaction-diffusion problems, referred to as replicator-mutator equations in evolutionary genetics. For a confining fitness function, we prove well-…
math.CA2017
A new proof of the competitive exclusion principle in the chemostat
Alain Rapaport, Mario Veruete
We give an new proof of the well-known competitive exclusion principle in the chemostat model with species competing for a single resource, for any set of increasing growth fun…