B. Ermentrout et M. Lewis, PATTERN-FORMATION IN SYSTEMS WITH ONE SPATIALLY DISTRIBUTED SPECIES, Bulletin of mathematical biology, 59(3), 1997, pp. 533-549
We describe a three-species mechanism for spatial pattern formation in
which only one species spatially moves. We show that a bifurcation to
traveling or standing waves occurs. We contrast this mechanism for pa
ttern formation with the better known cases where more than one specie
s moves. (C) 1997 Society for Mathematical Biology.