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:
“No contact with savage Indian tribes has ever daunted me more than the morning I spent with an old lady swathed in woolies who compared herself to a rotten herring encased in a block of ice.”
—Claude Lévi-Strauss (b. 1908)
“There was only one catch and that was Catch-22, which specified that a concern for one’s own safety in the face of dangers that were real and immediate was the process of a rational mind.... Orr would be crazy to fly more missions and sane if he didn’t, but if he was sane he had to fly them. If he flew them he was crazy and didn’t have to; but if he didn’t want to he was sane and had to.”
—Joseph Heller (b. 1923)