proliferous

1. Zoology. Reproducing freely by means of buds and side branches, as corals do.
2. Botany. Freely producing buds or offshoots, especially from unusual places, as shoots from flowers or fruits from fruits.

[From Medieval Latin prōlifer : Latin prōlēs, prōl-, offspring + Latin -fer, -fer.]

adjective

Capable of reproducing: fecund, fertile, fruitful, productive, prolific. See rich/poor.

Tending to proliferate.