In this article,we try to calculate the equation of state(EOS) of quantum chromodynamics(QCD) at finite chemical potential and zero temperature in the framework of a nonperturbative QCD model.Compared with the cold,perturbative EOS of QCD proposed by Fraga et al.,our EOS approaches more fastly to the free quark gas result at large chemical potential.It is expected that our EOS can provide a possible new tool for the study of neutron star.We also try to provide a direct approach for calculating quark number susceptibility and scalar susceptibility at finite chemical potential and zero temperature.
