  A simple system of coupled kinetic equations for quark and gluon anisotropic
systems is solved numerically. The solutions are compared with the predictions
of the anisotropic hydrodynamics describing a mixture of anisotropic fluids. We
find that the solutions of the kinetic equations can be well reproduced by
anisotropic hydrodynamics if the initial distribution are oblate for both
quarks and gluons. On the other hand, the solutions of the kinetic equations
have a different qualitative behavior from those obtained in anisotropic
hydrodynamics if the initial configurations are oblate-prolate or
prolate-prolate. This suggests that an extension of the anisotropic
hydrodynamics scheme for the mixture of anisotropic fluids is needed, where
higher moments of the kinetic equations are used and present simplifications
are avoided.
