  With the data samples taken at center-of-mass energies from 2.00 to 3.08 GeV
with the BESIII detector at the BEPCII collider, a partial wave analysis on the
$e^{+}e^{-}\rightarrow\pi^{+}\pi^{-}\pi^{0}$ process is performed. The Born
cross sections for $e^{+}e^{-}\rightarrow\pi^{+}\pi^{-}\pi^{0}$ and its
intermediate processes $e^{+}e^{-}\rightarrow\rho\pi$ and $\rho(1450)\pi$ are
measured as functions of $\sqrt{s}$. The results for
$e^{+}e^{-}\rightarrow\pi^{+}\pi^{-}\pi^{0}$ are consistent with previous
results measured with the initial state radiation method within one standard
deviation, and improve the uncertainty by a factor of ten. By fitting the line
shapes of the Born cross sections for the $e^{+}e^{-}\rightarrow\rho\pi$ and
$\rho(1450)\pi$, a structure with mass $M = 2119\pm11\pm15\ {\rm MeV}/c^2$ and
width $\Gamma=69\pm30\pm5 {\rm MeV}$ is observed with a significance of
$5.9\sigma$, where the first uncertainties are statistical and the second ones
are systematic. This structure can be intepreteted as an excited $\omega$
state.
