  With the use of long-term numerical simulations, we study the evolution and
orbital behavior of cometary nuclei in cold Kuiper belt-like debris disks under
the gravitational influence of dwarf planets (DPs); we carry out these
simulations with and without the presence of a Neptune-like giant planet. This
exploratory study shows that in the absence of a giant planet, 10 DPs are
enough to induce strong radial and vertical heating on the orbits of belt
particles. On the other hand, the presence of a giant planet close to the
debris disk, acts as a stability agent reducing the radial and vertical
heating. With enough DPs, even in the presence of a Neptune-like giant planet
some radial heating remains; this heating grows steadily, re-filling resonances
otherwise empty of cometary nuclei. Specifically for the solar system, this
secular process seems to be able to provide material that, through resonant
chaotic diffusion, increase the rate of new comets spiraling into the inner
planetary system, but only if more than the $\sim10$ known DP sized objects
exist in the trans-Neptunian region.
