  We investigate the peculiar nature of strange stars through an analysis of
different quark models, i.e. vBag model and CFL model equation of states at
different parameter sets, and focus on understanding the equation of state
governing the intriguing central compact object (CCO) within the supernova
remnant HESS J1731-347, with a mass and radius of $M = 0.77^{+0.20}_{-0.17}
M_{\odot}$ and $R = 10.4^{+0.86}_{-0.78}$ km, respectively. Additionally, we
compare the radial oscillations of two models to determine the frequency of the
HESS J1731-347 compact object at its maximum mass. The frequencies of radial
oscillations are computed for each of the four EoSs considered. In total, the
10 lowest radial frequencies for each of those EoSs have been computed. By
delving into these aspects, we aim at deepening our understanding of strange
stars and their connection to the observed HESS J1731-347 mass-radius
relationship.
