prevalence

[prev-uh-luhns]
noun
the condition of being prevalent, or widespread: the prevalence of AIDS in developing countries.
Sometimes, prevalentness.

nonprevalence, noun
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World English Dictionary
prevalent (ˈprɛvələnt)
 
adj
1.  widespread or current
2.  superior in force or power; predominant
 
[C16 (in the sense: powerful): from Latin praevalens very strong, from praevalēre: see prevail]
 
'prevalence
 
n
 
'prevalentness
 
n
 
'prevalently
 
adv

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

prevalence
1590s, "fact of having mastery," from Fr. prévalence, from M.L. praevalentia, from praevalere (see prevalent). Meaning "condition of being widespread or general" is from 1713.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

prevalence prev·a·lence (prěv'ə-ləns)
n.
The total number of cases of a disease in a given population at a specific time.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Example sentences
It is hard to assess dogfighting's prevalence.
Kids should be left with a clear understanding of the pattern and curious about
  its remarkable prevalence in nature.
The reason of this is not any great prevalence of local colour in his writings.
There is a similar zone in the northern hemisphere, but the current of the wind
  is interrupted by the prevalence of land.
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