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

@article{Sharkey2006PairlevelAT,
  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},
  year={2006},
  volume={53 1},
  pages={61-85}
}
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

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 20 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Correlation equations for spatial ecologies

  • D. A. Rand
  • Advanced ecological theory (ed. J. McGlade…
  • 1999
Highly Influential
9 Excerpts

Representing spatial interactions in simple ecological models

  • A. J. Morris
  • PhD thesis, Warwick University.
  • 1997
Highly Influential
8 Excerpts

Mathematical Biology

  • J. D. Murray
  • Springer.
  • 2003
1 Excerpt

Ecology of infectious diseases in natural populations

  • B. T. Grenfell, A. P. Dobson
  • Cambridge University Press.
  • 1995
1 Excerpt

J.A.J.:The Legacy of Kermack and McKendrick. In: Epidemic Models, their Structure and Relation to Data

  • O. Diekmann, J.A.P. Heesterbeek, Metz
  • 1995
1 Excerpt

The Legacy of Kermack and McKendrick

  • O. Diekmann, J. A. P. Heesterbeek, J. A. J. Metz
  • 1995

Similar Papers

Loading similar papers…