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Wiktionary
spill over

vb. 1 To enter into another zone by way of accident or overcrowding; to overflow. 2 (context intransitive English) Of an infectious disease, to spread from one species of animal to another and particularly to humans.

WordNet
spill over
  1. v. overflow with a certain feeling; "The children bubbled over with joy"; "My boss was bubbling over with anger" [syn: bubble over, overflow]

  2. be disgorged; "The crowds spilled out into the streets" [syn: spill out, pour out]