  This paper investigates the impact of strangeness chemical potential and
finite volume on QCD critical end point by employing a (2+1) flavored Polyakov
quark meson model. Within the mean-field approximation, the model has been
extended to study the effect of vector interactions on the thermodynamics of
isospin-asymmetric quark matter. Susceptibilities of conserved charges like the
quark and strangeness number are analyzed using Taylor's series expansion. The
chiral phase transition boundary in the QCD phase diagram is found to be
shifted towards higher values of the quark chemical potential ($\mu_q$) and
lower temperature (T) for decreasing system size. On the other hand, there is
an opposite change to lower quark chemical potential and higher temperature for
decreasing strangeness chemical potential.
