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The emergence of diseases such as Zika and Ebola has highlighted the need tounderstand the role of sexual transmission in the spread of diseases with aprimarily non-sexual transmission route. In this paper we develop a number oflow-dimensional models which are appropriate for a range of assumptions for howa disease will spread if it has sexual transmission through a sexual contactnetwork combined with some other transmission mechanism, such as direct contactor vectors. The equations derived provide exact predictions for the dynamics ofthe corresponding simulations in the large population limit.

Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes