  Considering the finite IR behavior of quantum chromodynamics (QCD) running
coupling constant in some experiments, we intend to investigate different
models presenting running coupling with finite values in the IR region. Using
analytic and background perturbation theories, we obtain some equation of
states (EoSs) of strange quark matter which satisfy necessary conditions of
suitable EoSs. Then we evaluate the properties of strange quark stars in
general relativity. Our results for maximum gravitational mass is comparable
with the recent LIGO data for the compact binary merger, GW190425.
