  In this work we focus on the phase space singularities of interactive
quintessence model in the presence of matter fluid. This model is related to
swampland studies, that the outcomes affect all these Swampland related models
with the same dynamical system. We shall form the dynamical system
corresponding to the cosmological system, which is eventually autonomous, and
by using the dominant balances technique we shall investigate the occurrence or
not of finite-time singularities. Our results indicate that the dynamical
system of the model may develop finite-time singularities, but these are not
general singularities, like in the case that the matter fluids were absent, in
which case singularities occurred for general initial conditions. Hence, the
presence of matter fluids affects the dynamical system of the cosmological
system, making the singularities to depend on the initial conditions, instead
of occurring for general initial conditions.
