Two types of infectives among homogeneous IVDU susceptibles

Research Report SRR02-004

Two types of infectives among homogeneous IVDU susceptibles

J.Gani

Abstract: This paper extends some classical random allocation models for intravenous drug users (IVDUs) to the case where the infectives may be of different types while the susceptibles are homogeneous. A general recursive equation for the probability generating function of the process is derived when there are only two infective types, and the first few pgfs obtained explicitly. Recursive equations for the expectations of new infectives of the two types are found, and a procedure for deriving these explicitly outlined. A simple example is provided, illustrating the difference between this case and that where both susceptibles and infectives are homogeneous.

Primary AMS Classification: 60G30
Date: 17 June 2002

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