  We consider a Fisher-KPP equation with nonlinear selection driven by a
Poisson random measure. We prove that the equation admits a unique wave speed $
\mathfrak{s}> 0 $ given by $\frac{\mathfrak{s}^{2}}{2} = \int_{[0, 1]}\frac{
\log{(1 + y)}}{y} \mathfrak{R}( \mathrm d y)$ where $ \mathfrak{R} $ is the
intensity of the impacts of the driving noise. Our arguments are based on upper
and lower bounds via a quenched duality with a coordinated system of branching
Brownian motions.

Probability