Cross-diffusion in the Templator model of chemical self-replication

For the Templator model of chemical self-replication, we consider the effect of cross-diffusion in pattern formation. Although other chemical systems with cross-diffusion have been reported, we are the first to obtain exact relations between the relevant parameters for the Poincare-Adronov-Hopf and Turing bifurcations. Moreover, for the simplest case, we obtain analytical expressions in parameter space for the bifurcation curves and the Turing-PAH codimension two point. (C) 2007 Elsevier B.V. All rights reserved.