I have a particle system emitting a particle, however after X amount of time, the texture on the particles disappears, but the particles are still in the scene and continuing to live until their life time. It’s only after maybe 2 seconds that the texture disappears and the particle disappears.
In this video (In Shaded wireframe mode) it shows the particle moving across the screen, and then losing the texture, but you can still see the mesh of the particle continuing on:
Here is a picture of the particle settings: 