  We consider a nonlocal analogue of the Fisher-KPP equation. We do not assume
that the Borel-measure for the convolution is absolutely continuous. In order
to show the main result, we modify a recursive method for abstract monotone
discrete dynamical systems by Weinberger. We note that the monotone semiflow
generated by the equation does not have compactness with respect to the
compact-open topology. At the end, we propose a discrete model that describes
the measurement process.
