Abstract
Motivated by the needs of our models of spread of HIV, we have devised a way of specifying non-random contacts between subgroups in a population. Population heterogeneity is characterized by dividing the population into disjoint subgroups, the population subgroups. The contacts of the population subgroups are then partitioned into activity groups. The activity groups are defined in terms of processes that drive the contacts or in terms of the arenas where contacts are made by specifying the allocations of the contacts of the population subgroups to activity groups. All mixing is within activity groups and may, in general, be by any mechanism that gives a symmetric contact matrix. This method handles heterogeneity in mixing in a simple manner while automatically satisfying the inherent constraints on contact matrices.
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Jacquez, J.A., Simon, C.P., Koopman, J. (1989). Structured Mixing: Heterogeneous Mixing by the Definition of Activity Groups. In: Castillo-Chavez, C. (eds) Mathematical and Statistical Approaches to AIDS Epidemiology. Lecture Notes in Biomathematics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93454-4_15
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DOI: https://doi.org/10.1007/978-3-642-93454-4_15
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