asexual: Sexless; without sex, such as in vegetative propagation.
Nearly all Bromeliads produce offshoots or pups. Once they are about 1/3 the size of the parent plant they can be cut off and planted somewhere else.
Once the parent plant or mother plant has flowered energy goes into either seed production, off shoots (know as pups) or both. If the flowers have been pollinated and the plant is in the process of producing seed it is likely to produce less pups. If however there was little or no p[pollination the plant is likely to produce a greater number of more vigorous pups.
Over a period of time, that may even take a few years, the mother plant transfers all its energy to the new pups and slowly dies. As this process begins and continues the vibrant colour of the mother plant diminishes and the leaves slowly die. The plant become quite unattractive until the new pups grow to fill size an over take the mother plant.