  Nuclear effective interactions are considered as a vital tool to guide into
the region of the high degree of isospin asymmetry and density. We take
varieties of parameter sets of the RMF model to show the parametric dependence
of the hyperon star properties. We add $\phi_0$-meson to
$\sigma$-$\omega$-$\rho$ model. The effects of $\phi_0$-meson on the equation
of state and consequently on the maximum mass of the hyperon star are
discussed. Due to the inclusion of $\phi_0$-meson the threshold density of
different hyperon production shift to higher density region. The effects of the
hyperon-meson coupling constants on the maximum mass and radius of the hyperon
stars are discussed.
