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:
“Yet for all that, there is nothing in me of a founder of a religion—religions are affairs of the rabble; I find it necessary to wash my hands after I have come into contact with religious people.”
—Friedrich Nietzsche (1844–1900)
“That which endures is not one or another association of living forms, but the process of which the cosmos is the product, and of which these are among the transitory expressions.”
—Thomas Henry Huxley (1825–95)