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Network-based models of transmission of infectious diseases: a brief overview

By Winfried Just1, Hannah Lea Callender2, Drew LaMar3

1. Department of Mathematics, Ohio University 2. University of Portland 3. College of William and Mary

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Abstract

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.

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[1] 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.
[2] 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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Researchers should cite this work as follows:

  • Winfried Just; Hannah Lea Callender; Drew LaMar (2015), "Network-based models of transmission of infectious diseases: a brief overview," https://qubeshub.org/resources/363.

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