"rife" means something is common. For example, "the airport is rife with weary travelers." For something to "run rife" typically means something is becoming common or is spreading. For example, "Once the lockdown ended, covid ran rife through the close-knit community."
The usage of this term is not very common and may be a little subtle. One wouldn't say, for instance, "the usage of this term of not rife."
