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In this study, we extend the MIT bag model by incorporating the vector interaction among quarks and introducing a density-dependent bag pressure. Then we proceed to investigate the thermodynamic properties of strange quark matter (SQM) and pure up-down quark matter (udQM) in quark stars. The results demonstrate that the vector interaction among quarks and the densitydependent bag pressure have significant impacts on the equation of state for both SQM and udQM. The inclusion of GV , which represents the strength of vector interactions, results in a stiffening of equation of state while maintaining causality. This allows for the description of massive compact stars such as those observed in GW190814 and PSR J0740+6620 as quark stars. Ultimately, we utilize the vMIT bag model to derive a series of mass-radius relations of quark stars (QSs) which is consistent with the astronomical observations from HESS J1731-347, 4U 1702-429, PSR J0740+6620, GW170817 and GW190814.
Min et al. (Tue,) studied this question.