  We consider the Z5 two-component dark matter model within the framework of
the Type-II seesaw mechanism. Due to the new annihilation processes related to
triplets, the light component cannot necessarily be dominant in the dark matter
relic density, which is different from the Z5 two-component dark matter model
in the SM. The model is considered to explain the excess of electron-positron
flux measured by the AMS-02 Collaborations in this work, which is encouraged by
the decay of the triplets arising from dark matter annihilations in the
Galactic halo. We discuss the cases of the light and heavy components
determining dark matter density within a viable parameter space satisfying
relic density and direct detection constraints, and by fitting the antiproton
spectrum observed in the PAMELA and AMS experiments, we find that the parameter
space is flexible and the electron-positron flux excess can be obtained in both
cases with the mass of two dark matter particles being larger than that of the
triplets'.
