Stationary solutions of selection mutation equations

Sılvia Cuadrado

Universitat Autònoma de Barcelona

A way of modelling biological evolution consists in considering densities of individuals with respect to evolutionary variables. This gives rise to selection mutation equations. We study the existence of stationary solutions of these equations and also their behavior when the mutation is small. The technics mainly involve positive semigroup theory and the infinite dimensional version in Banach lattices of the Perron Frobenius theorem.