Heterogeneous sexual mixing in populations with arbitrarily connected multiple groups

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Abstract
An extension is presented of the social/sexual mixing formalism of Blythe/Castillo‐Chavez/Busenberg, for incompletely connected activity groups. This is shown to include as special cases the one‐sex and two‐sex general solutions. A simple procedure for constructing mixing models for arbitrarily classified (e.g. by sex, age, geographical location, sexual preference) populations is outlined, including a scheme for finding the number of independent mixing parameters required, and a simple (linear algebra) means for finding the values of the dependent mixing parameters. Various worked examples are presented, including the two‐sex problem and structured and selective mixing.

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