Contact Process (mathematics)
The contact process is a model of an interacting particle system. It is a continuous time Markov process with state space, where is a finite or countable graph, usually Z. The process is usually interpreted as a model for the spread of an infection: if the state of the process at a given time is, then a site in is "infected" if and healthy if . Infected sites become healthy at a constant rate, while healthy sites become infected at a rate proportional to the number infected neighbors. One can generalize the state space to, such is called the multitype contact process. It represents a model when more than one type of infection is competing for space.
Read more about Contact Process (mathematics): Dynamics, Voter Model
Famous quotes containing the words contact and/or process:
“There is hardly any contact more depressing to a young ardent creature than that of a mind in which years full of knowledge seem to have issued in a blank absence of interest or sympathy.”
—George Eliot [Mary Ann (or Marian)
“The American, if he has a spark of national feeling, will be humiliated by the very prospect of a foreigner’s visit to Congress—these, for the most part, illiterate hacks whose fancy vests are spotted with gravy, and whose speeches, hypocritical, unctuous, and slovenly, are spotted also with the gravy of political patronage, these persons are a reflection on the democratic process rather than of it; they expose it in its process rather than of it; they expose it in its underwear.”
—Mary McCarthy (1912–1989)