  PSR J1048$-$5832 (B1046$-$58) is a Vela-like pulsar that has exhibited
multiple glitch events. In this study, we analyze the timing data spanning
nearly 16 years, acquired from both the Fermi Gamma-ray Space Telescope and the
Parkes 64 m radio telescope. As a result, a total of five glitches are detected
within this dataset. Among them, a previously unknown small glitch is newly
found at MJD 56985(9) (November 24, 2014), which is also the smallest glitch
recorded from this source so far. The increments of the spin frequency and its
first derivative are $\Delta \nu \approx 2.2(3) \times 10^ {-8} $ Hz, and
$\Delta \dot{\nu} \approx 3(2) \times 10^ {-15}$ s$^{-2}$, respectively.
Significant changes in the integrated normalized mean pulse profile are
observed following three of the five glitch events, notably in the radio band.
We discuss the influence of glitches on the pulsar's emission properties due to
superfluid dynamics accompanied by crustquake, as well as the constraints on
the equation of state.
