Widespread, common (especially of unpleasant or harmful things).
Smallpox was rife after the siege had been lifted.
Arbuthnot
Before the plague of London, inflammations of the lungs were rife and mortal.
Milton
The tumult of loud mirth was rife.
1900, Sigmund Freud, The Interpretation of Dreams, Avon Books, (translated by James Strachey) pg. 170:
The 'denominational considerations' mentioned below relate, of course, to anti-Semitic feeling, which was already rife in Vienna during the last years of the nineteenth century.
2013, Daniel Taylor, Chelseas Branislav Ivanovic climbs highest to sink Benfica (in The Guardian'', 15 May 2013)http://www.guardian.co.uk/football/2013/may/15/benfica-chelsea-europa-league
They will have to reflect on a seventh successive defeat in a European final while Chelsea try to make sense of an eccentric season rife with controversy and bad feeling but once again one finishing on an exhilarating high.