The effect of suspended particles on the MHD wave instabilities due to non-uniform and non-homogeneity of magnetic field and rotation in cylindrical coordinate has been investigated. The dispersion relation is obtained numerically. The dependence of the growth rate of the magnetohydrodynamic instability on the various physical effects is discussed. It is found that the presence of suspended particles has a stabilizing effect on the considered system.

magnetohydrodynamic instability, the central region of galaxy, suspended particles, cylindrical coordinate.