noun (n)

• continual and persistent demands(noun.communication)

  Synonym:
  insisting
  

  source: wordnet30
• the state of demanding notice or attention(noun.state)

  Example:
  The insistence of their hunger.
  

  Synonym:
  imperativeness, insistency, press, pressure
  

  source: wordnet30
• the act of insisting on something(noun.act)

  Example:
  Insistence on grammatical correctness is a conservative position.
  

  Synonym:
  insistency
  

  source: wordnet30
• The quality of insisting, or being urgent or pressing; the act of dwelling upon as of special importance; persistence; urgency.(noun)

  source: webster1913