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We consider a nonlocal reaction-diffusion equation as a model for apopulation structured by a space variable and a phenotypical trait. To sustainthe possibility of invasion in the case where an underlying principaleigenvalue is negative, we investigate the existence of travelling wavesolutions. We identify a minimal speed $c^*>0$, and prove the existence ofwaves when $c\geq c^*$ and the non existence when $0\leq c

Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait