An Introduction to Infectious Disease Modelling by Emilia Vynnycky & Richard White
Author:Emilia Vynnycky & Richard White [Vynnycky, Emilia]
Language: eng
Format: azw3
Publisher: OUP Oxford
Published: 2010-05-13T04:00:00+00:00
The probability that a given set of ki individuals is infected equals the probability that a given set of St – ki individuals remain susceptible equals . The probability of the given set of ki individuals being infected and the given set of St – ki individuals remaining susceptible equals the product of these two probabilities, i.e. .
The number of ways of choosing ki out the St susceptible individuals to become infected is given by the binomial coefficient , which can also be written as .
The overall probability of ki out of the St susceptible individuals being infected is therefore given by the equation:
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