The main purpose of this document is to give a brief but mathematically rigorous description of the network-based models of transmission of infectious diseases that are studied on this web site. Readers will be able to find a much more detailed development of this material in our book chapters [1, 2]. We also briefly describe how the network-based models that are defined here are related to compartment-level models that are used in most on the literature on mathematical epidemiology.
 Winfried Just, Hannah Callender, and M Drew LaMar. Disease transmission dynamics on networks: Network structure vs. disease dynamics. In Raina Robeva, editor, Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015.
 Winfried Just, Hannah Callender, M Drew LaMar, and Natalia Toporikova. Transmission of infectious diseases: Data, models, and simulations. In Raina Robeva, editor, Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015.
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