Skip to main content

A Flexible Automata Model for Disease Simulation

  • Conference paper
Cellular Automata (ACRI 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3305))

Included in the following conference series:

Abstract

This paper presents an approach for capturing the behaviour of disease spread in a tractable model. More specifically, by embedding spatial population information into the cells of a cellular automaton, accurate representations of disease spread may be produced. Non-homogeneity is easily introduced into the implicitly discretized landscape of a cellular automaton, contributing to the accuracy of such models and overcoming some of the simplifying assumptions of homogeneity found in earlier models. The need to develop and test more effective disease containment measures inspires the search for new and more accurate models.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ferguson, N.M., Keeling, M.J., Edmunds, W.J., Gani, R., Grenfell, B.T., Anderson, R.M., Leach, S.: Planning for smallpox outbreaks. Nature 425, 681–685 (2003)

    Article  Google Scholar 

  2. Keeling, M.J., Woolhouse, M.E.J., Shaw, D.J., Matthews, L., Chase-Topping, M., Haydon, D.T., Cornell, S.J., Kappey, J., Wilesmith, J., Grenfell, B.T.: Dynamics of the 2001 uk foot and mouth epidemic: Stochastic dispersal in a heterogeneous landscape. Science 294, 813–817 (2001)

    Article  Google Scholar 

  3. Ferguson, N.M., Donnelly, C.A., Anderson, R.M.: The foot-and-mouth epidemic in great britain: Pattern of spread and impact of interventions. Science 292, 1155–1160 (2001)

    Article  Google Scholar 

  4. Mollison, D. (ed.): Epidemic Models: Their Structure and Relation to Data. Cambridge University Press, Cambridge (1995)

    MATH  Google Scholar 

  5. Anderson, R.M., May, R.M.: Infectious diseases of humans: dynamics and control. Oxford University Press, Oxford (1991)

    Google Scholar 

  6. Fukś, H., Lawniczak, A.T.: Individual based lattice model for spatial spread of epidemics. Discrete Dynamics in Nature and Society 6, 191–200 (2001)

    Article  MATH  Google Scholar 

  7. Boccara, N., Cheong, K.: Critical behaviour of a probablistic automata network SIS model for the spread of an infectious disease in a population of moving individuals. Journal of Physics A: Mathematical and General 26, 3707–3717 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  8. Boccara, N., Cheong, K., Oram, M.: A probabilistic automata network epidemic model with births and deaths exhibiting cyclic behaviour. Journal of Physics A: Mathematical and General 27, 1585–1597 (1994)

    Google Scholar 

  9. Ahmed, E., Elgazzar, A.S.: On some applications of cellular automata. Physica A 296, 529–538 (2002)

    Article  MathSciNet  Google Scholar 

  10. Ahmed, E., Agiza, H.N.: On modeling epidemics. Including latency, incubation and variable susceptibility. Physica A 253, 347–352 (1998)

    Article  Google Scholar 

  11. Ferguson, N.M., Donnelly, C.A., Anderson, R.M.: Transmission intensity and impact of control policies on the foot and mouth epidemic in Great Britain. Nature 413, 542–548 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fu, S.C., Milne, G. (2004). A Flexible Automata Model for Disease Simulation. In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds) Cellular Automata. ACRI 2004. Lecture Notes in Computer Science, vol 3305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30479-1_66

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30479-1_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23596-5

  • Online ISBN: 978-3-540-30479-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics