%0 Journal Article
%T Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait
%A Matthieu Alfaro
%A J¨¦r£¿me Coville
%A Ga£¿l Raoul
%J Mathematics
%D 2012
%I arXiv
%X We consider a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait. To sustain the possibility of invasion in the case where an underlying principal eigenvalue is negative, we investigate the existence of travelling wave solutions. We identify a minimal speed $c^*>0$, and prove the existence of waves when $c\geq c^*$ and the non existence when $0\leq c
%U http://arxiv.org/abs/1211.3228v2