Large-scale flow in the dayside magnetosheath is calculated by using a three-dimensional anisotropic MHD model for the case when the angle between the interplanetary magnetic field and the solar wind velocity is 45°. The behavior of plasma and magnetic field parameters downstream of the quasi-perpendicular and quasi-parallel bow shocks is compared in the results from a single calculation. The model includes a limit on the proton temperature anisotropy based upon thresholds for onset of the ion cyclotron and mirror instabilities. Results are presented for three different values of the isotropization rate. The model shows the existence of the plasma depletion layer, corresponding to an increase of the magnetic field intensity and a decrease of the plasma density near the magnetopause, for all angles of the bow shock normal relative to the interplanetary magnetic field. There is a thin layer downstream of the quasi-parallel shock where T _‖p > T _⊥p . The magnetosheath regions are shown where the threshold conditions for ion cyclotron and mirror instabilities are satisfied.