Transport System Effects On. Cross Diffusion

Cross diffusion is a phenomena in which a gradient in the concentration of one species induces a flux of another chemical species which was generally been neglected in the study of reaction-diffusion systems. We study the Turing bifurcation of two species reaction transport systems, where particle dispersal is governed by diffusion and cross diffusion, we performed linear stability apglysis to find tKc conditions for the Turing instability and compare results with the standard Turing conditions and we applied our results to'one model system, the Schnakenberg reaction Kinetics to see it effects on cross diffusion.