Tarellian starship

From Memory Alpha, the free Star Trek reference.

Tarellian starships (also referred to as Tarellian plague ships) were vessels used as late as the 2360s to carry Tarellian refugees following the Tarellian Civil War.

Nearly every star system that the vessels entered either turned them away, or destroyed them, through fear of spreading the plague. By the early 2360's, there was only one ship known to still exist.

In 2364, the USS Enterprise-D encountered the last surviving vessel, and its sparse crew. Onboard the Enterprise at the time, Wyatt Miller joined the last of the Tarellian crew, hoping that he would, some day, find a cure for their plague. (TNG: "Haven")

For more information on this design and history of this model, please see: Studio models.