Proliferate (verb)

1. To increase rapidly in number or spread widely.
2. To grow or spread quickly or excessively.
3. To reproduce or multiply rapidly.

Origin:

From latin proliferatus, past participle of proliferare ("to breed, multiply"), from pro- ("forward") + -fer ("bring") + -are (verb-forming suffix).

Examples:

1. The population of rabbits proliferated after the introduction of few predators.
2. The disease proliferated rapidly due to poor sanitation.
3. The invasive species proliferated and displaced the native plants.
4. The new technology proliferated quickly and became widely used.
5. The company's products proliferated in the market.