  Simple analytic considerations are applied to recently discovered patterns in
a generalized Fisher equation for population dynamics. The generalization
consists of the inclusion of non-local competition interactions among
individuals. We first show how stability arguments yield a condition for
pattern formation involving the ratio of the pattern wavelength and the
effective diffusion length of the individuals. We develop a mode-mode coupling
analysis which might be useful in shedding some light on the observed formation
of small-amplitude versus large-amplitude patterns.
