Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks.

  title={Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks.},
  author={Kieran J. Sharkey and Carmen T Fern{\'a}ndez and Kenton Morgan and Edmund J. Peeler and Mark A Thrush and James F. Turnbull and Roger G. Bowers},
  journal={Journal of mathematical biology},
  volume={53 1},
The process of infection during an epidemic can be envisaged as being transmitted via a network of routes represented by a contact network. Most differential equation models of epidemics are mean-field models. These contain none of the underlying spatial structure of the contact network. By extending the mean-field models to pair-level, some of the spatial structure can be contained in the model. Some networks of transmission such as river or transportation networks are clearly asymmetric… CONTINUE READING

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