The interaction between the Turing instability and the instability ind
uced by a differential flow is studied in the Selkov model. Both insta
bilities give rise to the formation of spatial patterns, and for a ran
ge of parameter values, these patterns can compete. The effect of anis
otropic diffusion on the pattern formation process is investigated. St
ripes with different orientations that travel with time and the suppre
ssion of patterns due to a competition of both instabilities are obser
ved.