  We show that the flux-flow transport of the Josephson vortex lattice (JVL) in
layered high-temperature superconductors provides a convenient probe for both
components of quasiparticle conductivity, $\sigma_{c}$ and $\sigma_{ab}$. We
found that the JVL flux-flow resistivity, $\rho_{ff}$, in a wide range of
magnetic fields is mainly determined by the in-plane dissipation. In the dense
lattice regime ($B>1$ T) $\rho_{ff}(B)$ dependence is well fitted by the
theoretical formula for that limit. That allows us to independently extract
from the experimental data the values of $\sigma_{c}$ and of the ratio $\sigma
_{ab}/(\sigma_{c}\gamma ^{4})$. The extracted temperature dependence $\sigma
_{ab}(T)$ is consistent with microwave data. The shape of the current-voltage
characteristics is also sensitive to the frequency dependence of $\sigma_{ab}$
and that allows us to estimate the quasiparticle relaxation time and relate it
to the impurity bandwidth using data obtained for the same crystal.
