  We consider the non-local Fisher-KPP equation on a bounded domain with
Neu-mann boundary conditions. Thanks to a Lyapunov function, we prove that
under a general hypothesis on the Kernel involved in the non-local term, the
homogenous steady state 1 is globally asymptotically stable. This assumption
happens to be linked to some conditions given in the literature, which ensure
that travelling waves link 0 to 1.
